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21120012312 = 2337792296949
BaseRepresentation
bin10011101010110110…
…011101000000011000
32000111220000210022020
4103222312131000120
5321223210343222
613411415054440
71345242066630
oct235266350030
960456023266
1021120012312
118a58772933
124115071420
131cb7744509
141044d536c0
1583925665c
hex4ead9d018

21120012312 has 128 divisors (see below), whose sum is σ = 61382400000. Its totient is φ = 5931035136.

The previous prime is 21120012307. The next prime is 21120012317. The reversal of 21120012312 is 21321002112.

It is an interprime number because it is at equal distance from previous prime (21120012307) and next prime (21120012317).

It is a junction number, because it is equal to n+sod(n) for n = 21120012291 and 21120012300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120012317) 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, 3035814 + ... + 3042762.

It is an arithmetic number, because the mean of its divisors is an integer number (479550000).

Almost surely, 221120012312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30691200000).

21120012312 is an abundant number, since it is smaller than the sum of its proper divisors (40262387688).

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

21120012312 is a wasteful number, since it uses less digits than its factorization.

21120012312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7273 (or 7269 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21120012312 its reverse (21321002112), we get a palindrome (42441014424).

The spelling of 21120012312 in words is "twenty-one billion, one hundred twenty million, twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 229 237 316 458 474 553 632 687 916 948 1106 1374 1603 1659 1832 1896 2212 2748 3206 3318 4424 4809 5496 6412 6636 6949 9618 12824 13272 13898 18091 19236 20847 27796 36182 38472 41694 48643 54273 55592 72364 83388 97286 108546 126637 144728 145929 166776 194572 217092 253274 291858 379911 389144 434184 506548 548971 583716 759822 1013096 1097942 1167432 1519644 1591321 1646913 2195884 3039288 3182642 3293826 3842797 4391768 4773963 6365284 6587652 7685594 9547926 11139247 11528391 12730568 13175304 15371188 19095852 22278494 23056782 30742376 33417741 38191704 44556988 46113564 66835482 89113976 92227128 125714359 133670964 251428718 267341928 377143077 502857436 754286154 880000513 1005714872 1508572308 1760001026 2640001539 3017144616 3520002052 5280003078 7040004104 10560006156 21120012312