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12113487360 = 293351321761
BaseRepresentation
bin10110100100000010…
…10010011000000000
31011021012122220202000
423102001102120000
5144302023043420
65322002024000
7606116641452
oct132201223000
934235586660
1012113487360
115156825387
122420948000
1311b081b300
1482cb202d2
154ad6db690
hex2d2052600

12113487360 has 960 divisors, whose sum is σ = 50142058560. Its totient is φ = 2760376320.

The previous prime is 12113487329. The next prime is 12113487371. The reversal of 12113487360 is 6378431121.

It is a happy number.

12113487360 is a `hidden beast` number, since 1 + 2 + 113 + 487 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198581730 + ... + 198581790.

It is an arithmetic number, because the mean of its divisors is an integer number (52231311).

Almost surely, 212113487360 is an apocalyptic number.

12113487360 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 12113487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25071029280).

12113487360 is an abundant number, since it is smaller than the sum of its proper divisors (38028571200).

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

12113487360 is a wasteful number, since it uses less digits than its factorization.

12113487360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12113487360 in words is "twelve billion, one hundred thirteen million, four hundred eighty-seven thousand, three hundred sixty".