12142137600 has 432 divisors, whose sum is σ = 46078300800. Its totient is φ = 3124961280.

The previous prime is 12142137583. The next prime is 12142137617. The reversal of 12142137600 is 673124121.

12142137600 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 21 + 37 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (12142137583) and next prime (12142137617).

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 5009989 + ... + 5012411.

Almost surely, 2^12142137600 is an apocalyptic number.

12142137600 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 12142137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23039150400).

12142137600 is an abundant number, since it is smaller than the sum of its proper divisors (33936163200).

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

12142137600 is a wasteful number, since it uses less digits than its factorization.

12142137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 12142137600 in words is "twelve billion, one hundred forty-two million, one hundred thirty-seven thousand, six hundred".