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12331110532000 = 2553132963112959
BaseRepresentation
bin1011001101110000111101…
…1101101000001110100000
31121122211202021221220102111
42303130033131220032200
53104013103244011000
642120500045525104
72411615262053341
oct263341735501640
947584667856374
1012331110532000
113a2465a473277
121471a27b73794
136b5a849b0cc0
14308b8684a0c8
15165b6196ecba
hexb370f7683a0

12331110532000 has 384 divisors, whose sum is σ = 33809326387200. Its totient is φ = 4388719104000.

The previous prime is 12331110531997. The next prime is 12331110532009. The reversal of 12331110532000 is 23501113321.

12331110532000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12331110532009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 951541521 + ... + 951554479.

It is an arithmetic number, because the mean of its divisors is an integer number (88045120800).

Almost surely, 212331110532000 is an apocalyptic number.

12331110532000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12331110532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16904663193600).

12331110532000 is an abundant number, since it is smaller than the sum of its proper divisors (21478215855200).

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

12331110532000 is a wasteful number, since it uses less digits than its factorization.

12331110532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13657 (or 13639 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 12331110532000 its reverse (23501113321), we get a palindrome (12354611645321).

The spelling of 12331110532000 in words is "twelve trillion, three hundred thirty-one billion, one hundred ten million, five hundred thirty-two thousand".