2012375400750 has 1152 divisors, whose sum is σ = 6769586783232. Its totient is φ = 443371968000.

The previous prime is 2012375400733. The next prime is 2012375400769. The reversal of 2012375400750 is 570045732102.

2012375400750 is a `hidden beast` number, since 2 + 0 + 12 + 37 + 540 + 0 + 75 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 11632227664 + ... + 11632227836.

It is an arithmetic number, because the mean of its divisors is an integer number (5876377416).

Almost surely, 2^{2012375400750} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012375400750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384793391616).

2012375400750 is an abundant number, since it is smaller than the sum of its proper divisors (4757211382482).

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

2012375400750 is a wasteful number, since it uses less digits than its factorization.

2012375400750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 2012375400750 in words is "two trillion, twelve billion, three hundred seventy-five million, four hundred thousand, seven hundred fifty".