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12322334112 = 253115797
BaseRepresentation
bin10110111100111011…
…11110010110100000
31011210202122102121220
423132131332112200
5200214004142422
65354422215040
7614234053224
oct133635762640
934722572556
1012322334112
115253700000
12247a884480
131214b8227a
1484c766784
154c1be1e5c
hex2de77e5a0

12322334112 has 144 divisors (see below), whose sum is σ = 35625362976. Its totient is φ = 3729355520.

The previous prime is 12322334099. The next prime is 12322334113. The reversal of 12322334112 is 21143322321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12322334113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15460498 + ... + 15461294.

It is an arithmetic number, because the mean of its divisors is an integer number (247398354).

Almost surely, 212322334112 is an apocalyptic number.

12322334112 is a gapful number since it is divisible by the number (12) 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 12322334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17812681488).

12322334112 is an abundant number, since it is smaller than the sum of its proper divisors (23303028864).

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

12322334112 is an frugal number, since it uses more digits than its factorization.

12322334112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 813 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 12322334112 its reverse (21143322321), we get a palindrome (33465656433).

The spelling of 12322334112 in words is "twelve billion, three hundred twenty-two million, three hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 797 968 1056 1331 1452 1594 1936 2391 2662 2904 3188 3872 3993 4782 5324 5808 6376 7986 8767 9564 10648 11616 12752 14641 15972 17534 19128 21296 25504 26301 29282 31944 35068 38256 42592 43923 52602 58564 63888 70136 76512 87846 96437 105204 117128 127776 140272 161051 175692 192874 210408 234256 280544 289311 322102 351384 385748 420816 468512 483153 578622 644204 702768 771496 841632 966306 1060807 1157244 1288408 1405536 1542992 1932612 2121614 2314488 2576816 3085984 3182421 3865224 4243228 4628976 5153632 6364842 7730448 8486456 9257952 11668877 12729684 15460896 16972912 23337754 25459368 33945824 35006631 46675508 50918736 70013262 93351016 101837472 128357647 140026524 186702032 256715294 280053048 373404064 385072941 513430588 560106096 770145882 1026861176 1120212192 1540291764 2053722352 3080583528 4107444704 6161167056 12322334112