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12126423960 = 23325721997373
BaseRepresentation
bin10110100101100101…
…01000101110011000
31011022010000011102100
423102302220232120
5144313331031320
65323143203400
7606334621500
oct132262505630
934263004370
1012126423960
115163060892
122425146560
1311b33ca6c1
1483072aa00
154ae8e4790
hex2d2ca8b98

12126423960 has 576 divisors, whose sum is σ = 48886437600. Its totient is φ = 2591834112.

The previous prime is 12126423949. The next prime is 12126423961. The reversal of 12126423960 is 6932462121.

It is a happy number.

12126423960 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 642 + 3 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12126423961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32510334 + ... + 32510706.

Almost surely, 212126423960 is an apocalyptic number.

12126423960 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 12126423960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24443218800).

12126423960 is an abundant number, since it is smaller than the sum of its proper divisors (36760013640).

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

12126423960 is a wasteful number, since it uses less digits than its factorization.

12126423960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12126423960 in words is "twelve billion, one hundred twenty-six million, four hundred twenty-three thousand, nine hundred sixty".