12612754000 has 160 divisors (see below), whose sum is σ = 38023494912. Its totient is φ = 3931200000.

The previous prime is 12612753973. The next prime is 12612754009. The reversal of 12612754000 is 45721621.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12612754000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12612754009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113050 + ... + 194950.

Almost surely, 2^12612754000 is an apocalyptic number.

12612754000 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 12612754000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19011747456).

12612754000 is an abundant number, since it is smaller than the sum of its proper divisors (25410740912).

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

12612754000 is a wasteful number, since it uses less digits than its factorization.

12612754000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81942 (or 81926 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 12612754000 in words is "twelve billion, six hundred twelve million, seven hundred fifty-four thousand".