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11421112120 = 23511672391621
BaseRepresentation
bin10101010001100000…
…00101011100111000
31002110221211121110121
422220300011130320
5141342301041440
65125150023024
7553011564655
oct125060053470
932427747417
1011421112120
114930a13640
122268aa7a74
13110024b612
147a4bacc2c
1546ca2334a
hex2a8c05738

11421112120 has 128 divisors (see below), whose sum is σ = 28588723200. Its totient is φ = 4071513600.

The previous prime is 11421112111. The next prime is 11421112121. The reversal of 11421112120 is 2121112411.

It is a super-2 number, since 2×114211121202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11421112094 and 11421112103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11421112121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7044910 + ... + 7046530.

It is an arithmetic number, because the mean of its divisors is an integer number (223349400).

Almost surely, 211421112120 is an apocalyptic number.

11421112120 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 11421112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14294361600).

11421112120 is an abundant number, since it is smaller than the sum of its proper divisors (17167611080).

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

11421112120 is a wasteful number, since it uses less digits than its factorization.

11421112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11421112120 its reverse (2121112411), we get a palindrome (13542224531).

The spelling of 11421112120 in words is "eleven billion, four hundred twenty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 220 239 268 335 440 478 536 670 737 956 1195 1340 1474 1621 1912 2390 2629 2680 2948 3242 3685 4780 5258 5896 6484 7370 8105 9560 10516 12968 13145 14740 16013 16210 17831 21032 26290 29480 32026 32420 35662 52580 64052 64840 71324 80065 89155 105160 108607 128104 142648 160130 176143 178310 217214 320260 352286 356620 387419 434428 543035 640520 704572 713240 774838 868856 880715 1086070 1194677 1409144 1549676 1761430 1937095 2172140 2389354 3099352 3522860 3874190 4261609 4344280 4778708 5973385 7045720 7748380 8523218 9557416 11946770 15496760 17046436 21308045 23893540 25957073 34092872 42616090 47787080 51914146 85232180 103828292 129785365 170464360 207656584 259570730 285527803 519141460 571055606 1038282920 1142111212 1427639015 2284222424 2855278030 5710556060 11421112120