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12312321112312 = 23131973324173517
BaseRepresentation
bin1011001100101010111110…
…0001101011100011111000
31121121001020211100111011121
42303022233201223203320
53103211113201043222
642104111403235024
72410351536452164
oct263125741534370
947531224314147
1012312321112312
113a17698317151
12146a263518a74
136b407c0635a0
14307cc3249ca4
1516541212e5c7
hexb32af86b8f8

12312321112312 has 128 divisors (see below), whose sum is σ = 26223912187200. Its totient is φ = 5372428197888.

The previous prime is 12312321112283. The next prime is 12312321112339. The reversal of 12312321112312 is 21321112321321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3500800378 + ... + 3500803894.

Almost surely, 212312321112312 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 12312321112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13111956093600).

12312321112312 is an abundant number, since it is smaller than the sum of its proper divisors (13911591074888).

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

12312321112312 is a wasteful number, since it uses less digits than its factorization.

12312321112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6705 (or 6701 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

Adding to 12312321112312 its reverse (21321112321321), we get a palindrome (33633433433633).

The spelling of 12312321112312 in words is "twelve trillion, three hundred twelve billion, three hundred twenty-one million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 733 988 1466 1976 2417 2932 3517 4834 5864 7034 9529 9668 13927 14068 19058 19336 27854 28136 31421 38116 45721 45923 55708 62842 66823 76232 91442 91846 111416 125684 133646 181051 182884 183692 251368 267292 362102 365768 367384 534584 596999 724204 868699 1193998 1448408 1737398 1771661 2387996 2577961 3474796 3543322 4775992 5155922 6949592 7086644 8500589 10311844 14173288 17001178 20623688 23031593 33513493 33661559 34002356 46063186 48981259 67026986 67323118 68004712 92126372 97962518 110507657 134053972 134646236 161511191 184252744 195925036 221015314 268107944 269292472 323022382 391850072 437600267 442030628 636756367 646044764 875200534 884061256 1273512734 1292089528 1750401068 2099645483 2547025468 3500802136 4199290966 5094050936 6230931737 8398581932 12461863474 16797163864 24923726948 49847453896 81002112581 118387703003 162004225162 236775406006 324008450324 473550812012 648016900648 947101624024 1539040139039 3078080278078 6156160556156 12312321112312