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12109113360 = 2433531193937
BaseRepresentation
bin10110100011100001…
…00110100000010000
31011020220102200202000
423101300212200100
5144244413111420
65321324154000
7606034523331
oct132160464020
934226380660
1012109113360
115154308103
12241b398900
1311ac949446
1482c302288
154ad125690
hex2d1c26810

12109113360 has 320 divisors, whose sum is σ = 43323893760. Its totient is φ = 3105423360.

The previous prime is 12109113349. The next prime is 12109113371. The reversal of 12109113360 is 6331190121.

12109113360 is a `hidden beast` number, since 1 + 210 + 91 + 1 + 3 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (12109113349) and next prime (12109113371).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12922812 + ... + 12923748.

It is an arithmetic number, because the mean of its divisors is an integer number (135387168).

Almost surely, 212109113360 is an apocalyptic number.

12109113360 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 12109113360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21661946880).

12109113360 is an abundant number, since it is smaller than the sum of its proper divisors (31214780400).

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

12109113360 is a wasteful number, since it uses less digits than its factorization.

12109113360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 12109113360 in words is "twelve billion, one hundred nine million, one hundred thirteen thousand, three hundred sixty".