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12320302331232 = 253276111261077
BaseRepresentation
bin1011001101001000101100…
…1111100111010101100000
31121121210212001102102021100
42303102023033213111200
53103323434344044412
642111511352354400
72411053401631050
oct263221317472540
947553761372240
1012320302331232
113a20013527045
12146b9103a5a00
136b4a5172c02c
1430843d225560
1516572cb69edc
hexb348b3e7560

12320302331232 has 72 divisors (see below), whose sum is σ = 40040982583056. Its totient is φ = 3520086379776.

The previous prime is 12320302331177. The next prime is 12320302331287. The reversal of 12320302331232 is 23213320302321.

12320302331232 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 0 + 302 + 331 + 23 + 2 = 666.

12320302331232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12320302331177) and next prime (12320302331287).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 12320302331196 and 12320302331205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3055628523 + ... + 3055632554.

It is an arithmetic number, because the mean of its divisors is an integer number (556124758098).

Almost surely, 212320302331232 is an apocalyptic number.

12320302331232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12320302331232 is an abundant number, since it is smaller than the sum of its proper divisors (27720680251824).

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

12320302331232 is a wasteful number, since it uses less digits than its factorization.

12320302331232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6111261100 (or 6111261089 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 12320302331232 its reverse (23213320302321), we get a palindrome (35533622633553).

The spelling of 12320302331232 in words is "twelve trillion, three hundred twenty billion, three hundred two million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 6111261077 12222522154 18333783231 24445044308 36667566462 42778827539 48890088616 55001349693 73335132924 85557655078 97780177232 110002699386 128336482617 146670265848 171115310156 195560354464 220005398772 256672965234 293340531696 342230620312 385009447851 440010797544 513345930468 586681063392 684461240624 770018895702 880021595088 1026691860936 1368922481248 1540037791404 1760043190176 2053383721872 3080075582808 4106767443744 6160151165616 12320302331232