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12321314016 = 2531111667911
BaseRepresentation
bin10110111100110100…
…00101010011100000
31011210200201121022120
423132122011103200
5200213224022031
65354344304240
7614222304204
oct133632052340
934720647276
1012321314016
115253073650
12247a472080
1312148b5b6b
1484c57cb04
154c1a8ea96
hex2de6854e0

12321314016 has 48 divisors (see below), whose sum is σ = 35283765888. Its totient is φ = 3733731200.

The previous prime is 12321314011. The next prime is 12321314017. The reversal of 12321314016 is 61041312321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321314011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5832900 + ... + 5835011.

It is an arithmetic number, because the mean of its divisors is an integer number (735078456).

Almost surely, 212321314016 is an apocalyptic number.

12321314016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12321314016 is an abundant number, since it is smaller than the sum of its proper divisors (22962451872).

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

12321314016 is a wasteful number, since it uses less digits than its factorization.

12321314016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11667935 (or 11667927 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12321314016 its reverse (61041312321), we get a palindrome (73362626337).

The spelling of 12321314016 in words is "twelve billion, three hundred twenty-one million, three hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 11667911 23335822 35003733 46671644 70007466 93343288 128347021 140014932 186686576 256694042 280029864 373373152 385041063 513388084 560059728 770082126 1026776168 1120119456 1540164252 2053552336 3080328504 4107104672 6160657008 12321314016