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312332112012 = 2232329300113003
BaseRepresentation
bin1001000101110000111…
…00011101000010001100
31002212011221222020010110
410202320130131002030
520104124010041022
6355252225040020
731364611101564
oct4427034350214
91085157866113
10312332112012
11110506375608
1250647486010
13235b6a255cb
141118ccd1da4
1581d018300c
hex48b871d08c

312332112012 has 96 divisors (see below), whose sum is σ = 787006241280. Its totient is φ = 96110784000.

The previous prime is 312332111953. The next prime is 312332112013. The reversal of 312332112012 is 210211233213.

It is a self number, because there is not a number n which added to its sum of digits gives 312332112012.

It is not an unprimeable number, because it can be changed into a prime (312332112013) 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, 24013503 + ... + 24026505.

It is an arithmetic number, because the mean of its divisors is an integer number (8197981680).

Almost surely, 2312332112012 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 312332112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393503120640).

312332112012 is an abundant number, since it is smaller than the sum of its proper divisors (474674129268).

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

312332112012 is a wasteful number, since it uses less digits than its factorization.

312332112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16063 (or 16061 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 312332112012 its reverse (210211233213), we get a palindrome (522543345225).

The spelling of 312332112012 in words is "three hundred twelve billion, three hundred thirty-two million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 348 667 1334 2001 2668 3001 4002 6002 8004 9003 12004 13003 18006 26006 36012 39009 52012 69023 78018 87029 138046 156036 174058 207069 261087 276092 299069 348116 377087 414138 522174 598138 754174 828276 897207 1044348 1131261 1196276 1508348 1794414 2001667 2262522 3588828 4003334 4525044 6005001 8006668 8673001 12010002 17346002 24020004 26019003 34692004 39022003 52038006 78044006 104076012 117066009 156088012 234132018 468264036 897506069 1131638087 1795012138 2263276174 2692518207 3394914261 3590024276 4526552348 5385036414 6789828522 10770072828 13579657044 26027676001 52055352002 78083028003 104110704004 156166056006 312332112012