12612042000 has 480 divisors, whose sum is σ = 46871866080. Its totient is φ = 3154636800.

The previous prime is 12612041989. The next prime is 12612042013. The reversal of 12612042000 is 24021621.

12612042000 is a `hidden beast` number, since 1 + 261 + 204 + 200 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 7732740096 + 4879301904 = 87936^2 + 69852^2 .

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 95 ways as a sum of consecutive naturals, for example, 19313674 + ... + 19314326.

It is an arithmetic number, because the mean of its divisors is an integer number (97649721).

Almost surely, 2^12612042000 is an apocalyptic number.

12612042000 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 12612042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23435933040).

12612042000 is an abundant number, since it is smaller than the sum of its proper divisors (34259824080).

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

12612042000 is a wasteful number, since it uses less digits than its factorization.

12612042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12612042000 its reverse (24021621), we get a palindrome (12636063621).

The spelling of 12612042000 in words is "twelve billion, six hundred twelve million, forty-two thousand".