2012645512800 has 2304 divisors, whose sum is σ = 8746640179200. Its totient is φ = 442074931200.

The previous prime is 2012645512799. The next prime is 2012645512907. The reversal of 2012645512800 is 82155462102.

2012645512800 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 64 + 5 + 512 + 80 + 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 an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7111821459 + ... + 7111821741.

It is an arithmetic number, because the mean of its divisors is an integer number (3796284800).

Almost surely, 2^{2012645512800} is an apocalyptic number.

2012645512800 is a gapful number since it is divisible by the number (20) 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 2012645512800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373320089600).

2012645512800 is an abundant number, since it is smaller than the sum of its proper divisors (6733994666400).

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

2012645512800 is a wasteful number, since it uses less digits than its factorization.

2012645512800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 2012645512800 in words is "two trillion, twelve billion, six hundred forty-five million, five hundred twelve thousand, eight hundred".