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12113874000 = 243453374347
BaseRepresentation
bin10110100100000101…
…10000110001010000
31011021020101120010000
423102002300301100
5144302122432000
65322014210000
7606123141624
oct132202606120
934236346100
1012113874000
115156a69918
122420ab3900
1311b09252a7
1482cbc1184
154ad766000
hex2d20b0c50

12113874000 has 800 divisors, whose sum is σ = 46962279936. Its totient is φ = 3004646400.

The previous prime is 12113873951. The next prime is 12113874001. The reversal of 12113874000 is 47831121.

12113874000 is a `hidden beast` number, since 121 + 138 + 7 + 400 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12113874001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 257741977 + ... + 257742023.

Almost surely, 212113874000 is an apocalyptic number.

12113874000 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 12113874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23481139968).

12113874000 is an abundant number, since it is smaller than the sum of its proper divisors (34848405936).

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

12113874000 is a wasteful number, since it uses less digits than its factorization.

12113874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 12113874000 in words is "twelve billion, one hundred thirteen million, eight hundred seventy-four thousand".