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212123201120 = 25517711098401
BaseRepresentation
bin1100010110001110000…
…1110010111001100000
3202021112020020010000022
43011203201302321200
511433412014413440
6241240440213012
721216416313455
oct3054341627140
9667466203008
10212123201120
1181a63020686
123513b76a168
1317006b5b96c
14a3a420d82c
1557b792dcb5
hex3163872e60

212123201120 has 96 divisors (see below), whose sum is σ = 538093958976. Its totient is φ = 78733312000.

The previous prime is 212123201119. The next prime is 212123201123. The reversal of 212123201120 is 21102321212.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212123201123) 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, 356081 + ... + 742320.

It is an arithmetic number, because the mean of its divisors is an integer number (5605145406).

Almost surely, 2212123201120 is an apocalyptic number.

212123201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212123201120 is an abundant number, since it is smaller than the sum of its proper divisors (325970757856).

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

212123201120 is a wasteful number, since it uses less digits than its factorization.

212123201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098504 (or 1098496 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 212123201120 its reverse (21102321212), we get a palindrome (233225522332).

The spelling of 212123201120 in words is "two hundred twelve billion, one hundred twenty-three million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 71 80 85 136 142 160 170 272 284 340 355 544 568 680 710 1136 1207 1360 1420 2272 2414 2720 2840 4828 5680 6035 9656 11360 12070 19312 24140 38624 48280 96560 193120 1098401 2196802 4393604 5492005 8787208 10984010 17574416 18672817 21968020 35148832 37345634 43936040 74691268 77986471 87872080 93364085 149382536 155972942 175744160 186728170 298765072 311945884 373456340 389932355 597530144 623891768 746912680 779864710 1247783536 1325770007 1493825360 1559729420 2495567072 2651540014 2987650720 3119458840 5303080028 6238917680 6628850035 10606160056 12477835360 13257700070 21212320112 26515400140 42424640224 53030800280 106061600560 212123201120