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1210001221120 = 2957115144087
BaseRepresentation
bin10001100110111001101…
…100010110011000000000
311021200020001202210011111
4101212321230112120000
5124311040303033440
62323511125253104
7153263646452056
oct21467154263000
94250201683144
101210001221120
1142718216559a
1217660ab64194
138a144611c23
14427c88c81d6
152171cc3a4ea
hex119b9b16600

1210001221120 has 160 divisors (see below), whose sum is σ = 2961579303936. Its totient is φ = 474012672000.

The previous prime is 1210001221109. The next prime is 1210001221127. The reversal of 1210001221120 is 211221000121.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×12100012211202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1210001221120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210001221127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27423717 + ... + 27467803.

Almost surely, 21210001221120 is an apocalyptic number.

1210001221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210001221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480789651968).

1210001221120 is an abundant number, since it is smaller than the sum of its proper divisors (1751578082816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1210001221120 is an equidigital number, since it uses as much as digits as its factorization.

1210001221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44332 (or 44316 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1210001221120 its reverse (211221000121), we get a palindrome (1421222221241).

The spelling of 1210001221120 in words is "one trillion, two hundred ten billion, one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 151 160 256 284 302 320 355 512 568 604 640 710 755 1136 1208 1280 1420 1510 2272 2416 2560 2840 3020 4544 4832 5680 6040 9088 9664 10721 11360 12080 18176 19328 21442 22720 24160 36352 38656 42884 44087 45440 48320 53605 77312 85768 88174 90880 96640 107210 171536 176348 181760 193280 214420 220435 343072 352696 386560 428840 440870 686144 705392 857680 881740 1372288 1410784 1715360 1763480 2744576 2821568 3130177 3430720 3526960 5489152 5643136 6260354 6657137 6861440 7053920 11286272 12520708 13314274 13722880 14107840 15650885 22572544 25041416 26628548 27445760 28215680 31301770 33285685 50082832 53257096 56431360 62603540 66571370 100165664 106514192 112862720 125207080 133142740 200331328 213028384 250414160 266285480 400662656 426056768 472656727 500828320 532570960 801325312 852113536 945313454 1001656640 1065141920 1602650624 1704227072 1890626908 2003313280 2130283840 2363283635 3408454144 3781253816 4006626560 4260567680 4726567270 7562507632 8013253120 8521135360 9453134540 15125015264 17042270720 18906269080 30250030528 37812538160 60500061056 75625076320 121000122112 151250152640 242000244224 302500305280 605000610560 1210001221120