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12321114321312 = 253314260548983
BaseRepresentation
bin1011001101001011101110…
…1001000111000110100000
31121121212221122022210021000
42303102323221013012200
53103332120231240222
642112124120232000
72411112461503056
oct263227351070640
947555848283230
1012321114321312
113a2039a907225
12146bab830b600
136b4b50a1c534
143084b8dd21d6
151657790ae9ac
hexb34bba471a0

12321114321312 has 48 divisors (see below), whose sum is σ = 35936583439680. Its totient is φ = 4107038106816.

The previous prime is 12321114321311. The next prime is 12321114321367. The reversal of 12321114321312 is 21312341112321.

12321114321312 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 11 + 14 + 321 + 312 = 666.

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 (27).

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 (12321114321311) 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, 7130273628 + ... + 7130275355.

It is an arithmetic number, because the mean of its divisors is an integer number (748678821660).

Almost surely, 212321114321312 is an apocalyptic number.

12321114321312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12321114321312 is an abundant number, since it is smaller than the sum of its proper divisors (23615469118368).

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

12321114321312 is a wasteful number, since it uses less digits than its factorization.

12321114321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14260549002 (or 14260548988 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 12321114321312 its reverse (21312341112321), we get a palindrome (33633455433633).

The spelling of 12321114321312 in words is "twelve trillion, three hundred twenty-one billion, one hundred fourteen million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 14260548983 28521097966 42781646949 57042195932 85563293898 114084391864 128344940847 171126587796 228168783728 256689881694 342253175592 385034822541 456337567456 513379763388 684506351184 770069645082 1026759526776 1369012702368 1540139290164 2053519053552 3080278580328 4107038107104 6160557160656 12321114321312