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112265493120 = 27325113161937
BaseRepresentation
bin110100010001110001…
…0110111101010000000
3101201202222022221200200
41220203202313222000
53314404431234440
6123323555045200
711053020642444
oct1504342675200
9351688287620
10112265493120
114367aa42680
12199115a0800
13a78197c891
14561002c824
152dc0e4ec30
hex1a238b7a80

112265493120 has 768 divisors, whose sum is σ = 444181570560. Its totient is φ = 25878528000.

The previous prime is 112265493113. The next prime is 112265493121. The reversal of 112265493120 is 21394562211.

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

It is not an unprimeable number, because it can be changed into a prime (112265493121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119813292 + ... + 119814228.

It is an arithmetic number, because the mean of its divisors is an integer number (578361420).

Almost surely, 2112265493120 is an apocalyptic number.

112265493120 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 112265493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222090785280).

112265493120 is an abundant number, since it is smaller than the sum of its proper divisors (331916077440).

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

112265493120 is a wasteful number, since it uses less digits than its factorization.

112265493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 112265493120 in words is "one hundred twelve billion, two hundred sixty-five million, four hundred ninety-three thousand, one hundred twenty".