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12044563497120 = 25357114353142993
BaseRepresentation
bin1010111101000101011111…
…1011011100000010100000
31120122110010100011022110210
42233101113323130002200
53034314231223401440
641341110204254120
72352122340334440
oct257212773340240
946573110138423
1012044563497120
113924086102870
121426397b41340
13694a4a04b5ab
142d8d622a4120
1515d490389a80
hexaf457edc0a0

12044563497120 has 768 divisors, whose sum is σ = 49315935449088. Its totient is φ = 2398421975040.

The previous prime is 12044563497097. The next prime is 12044563497181. The reversal of 12044563497120 is 2179436544021.

12044563497120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12044563497120.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84160344 + ... + 84303336.

It is an arithmetic number, because the mean of its divisors is an integer number (64213457616).

Almost surely, 212044563497120 is an apocalyptic number.

12044563497120 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 12044563497120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24657967724544).

12044563497120 is an abundant number, since it is smaller than the sum of its proper divisors (37271371951968).

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

12044563497120 is a wasteful number, since it uses less digits than its factorization.

12044563497120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143125 (or 143117 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 12044563497120 in words is "twelve trillion, forty-four billion, five hundred sixty-three million, four hundred ninety-seven thousand, one hundred twenty".