12128402743200 has 1008 divisors, whose sum is σ = 46420291161216. Its totient is φ = 3087096883200.

The previous prime is 12128402743183. The next prime is 12128402743229. The reversal of 12128402743200 is 234720482121.

12128402743200 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 8 + 402 + 7 + 43 + 200 = 666.

12128402743200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12128402743200² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 11763726685 + ... + 11763727715.

It is an arithmetic number, because the mean of its divisors is an integer number (46051876152).

Almost surely, 2^{12128402743200} is an apocalyptic number.

12128402743200 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 12128402743200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23210145580608).

12128402743200 is an abundant number, since it is smaller than the sum of its proper divisors (34291888418016).

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

12128402743200 is a wasteful number, since it uses less digits than its factorization.

12128402743200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 12128402743200 in words is "twelve trillion, one hundred twenty-eight billion, four hundred two million, seven hundred forty-three thousand, two hundred".