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12100512240 = 243451979479
BaseRepresentation
bin10110100010011111…
…10010100111110000
31011020022020201020000
423101033302213300
5144240212342430
65320415550000
7605601441225
oct132117624760
934208221200
1012100512240
11514a472a43
12241852b300
1311aac2751b
1482b10394c
154ac4c6e60
hex2d13f29f0

12100512240 has 200 divisors, whose sum is σ = 42244662240. Its totient is φ = 3210084864.

The previous prime is 12100512181. The next prime is 12100512251. The reversal of 12100512240 is 4221500121.

12100512240 is a `hidden beast` number, since 12 + 100 + 512 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1271821 + ... + 1281299.

Almost surely, 212100512240 is an apocalyptic number.

12100512240 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 12100512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21122331120).

12100512240 is an abundant number, since it is smaller than the sum of its proper divisors (30144150000).

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

12100512240 is a wasteful number, since it uses less digits than its factorization.

12100512240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9701 (or 9686 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The spelling of 12100512240 in words is "twelve billion, one hundred million, five hundred twelve thousand, two hundred forty".