1012036000000 has 189 divisors, whose sum is σ = 2530146187933. Its totient is φ = 404009600000.

The previous prime is 1012035999983. The next prime is 1012036000043. The reversal of 1012036000000 is 6302101.

The square root of 1012036000000 is 1006000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 886640691456 + 125395308544 = 941616^2 + 354112^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2011999749 + ... + 2012000251.

Almost surely, 2^{1012036000000} is an apocalyptic number.

1012036000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1012036000000 is the 1006000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012036000000

1012036000000 is an abundant number, since it is smaller than the sum of its proper divisors (1518110187933).

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

1012036000000 is an frugal number, since it uses more digits than its factorization.

1012036000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Multiplying 1012036000000 by its product of nonzero digits (36), we get a square (36433296000000 = 6036000²).

The spelling of 1012036000000 in words is "one trillion, twelve billion, thirty-six million", and thus it is an aban number and an uban number.