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12321200212321 = 7111365318849757
BaseRepresentation
bin1011001101001100000011…
…0000110000100101100001
31121121220011121221111120111
42303103000300300211201
53103332304223243241
642112140425211321
72411114553533140
oct263230060604541
947556147844514
1012321200212321
113a20434341430
12146bb21030b41
136b4b65763110
143084c658d757
151657818c8c81
hexb34c0c30961

12321200212321 has 32 divisors (see below), whose sum is σ = 16568484887808. Its totient is φ = 8848829456640.

The previous prime is 12321200212313. The next prime is 12321200212337.

12321200212321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12321200212321 - 23 = 12321200212313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12321200212292 and 12321200212301.

It is not an unprimeable number, because it can be changed into a prime (12321200213321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8771226 + ... + 10078531.

It is an arithmetic number, because the mean of its divisors is an integer number (517765152744).

Almost surely, 212321200212321 is an apocalyptic number.

12321200212321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12321200212321 is a deficient number, since it is larger than the sum of its proper divisors (4247284675487).

12321200212321 is a wasteful number, since it uses less digits than its factorization.

12321200212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18850441.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 12321200 and 212321, that added together give a palindrome (12533521).

The spelling of 12321200212321 in words is "twelve trillion, three hundred twenty-one billion, two hundred million, two hundred twelve thousand, three hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 653 1001 4571 7183 8489 50281 59423 93379 653653 18849757 131948299 207347327 245046841 1451431289 1715327887 2695515251 12308891321 18868606757 86162239247 135397804531 160015587173 947784631717 1120109110211 1760171458903 12321200212321