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12497210880 = 293572113019
BaseRepresentation
bin10111010001110010…
…00100111000000000
31012020221201002110020
423220321010320000
5201043241222010
65424030333440
7621456353100
oct135071047000
935227632406
1012497210880
115333393560
12250935a280
13124218124b
14867a89200
154d2237470
hex2e8e44e00

12497210880 has 480 divisors, whose sum is σ = 50716575360. Its totient is φ = 2595962880.

The previous prime is 12497210851. The next prime is 12497210881. The reversal of 12497210880 is 8801279421.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12497210881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4138011 + ... + 4141029.

It is an arithmetic number, because the mean of its divisors is an integer number (105659532).

Almost surely, 212497210880 is an apocalyptic number.

12497210880 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 12497210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25358287680).

12497210880 is an abundant number, since it is smaller than the sum of its proper divisors (38219364480).

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

12497210880 is a wasteful number, since it uses less digits than its factorization.

12497210880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 12497210880 in words is "twelve billion, four hundred ninety-seven million, two hundred ten thousand, eight hundred eighty".