1012350976000 has 864 divisors, whose sum is σ = 3198098462832. Its totient is φ = 317089382400.

The previous prime is 1012350975991. The next prime is 1012350976003. The reversal of 1012350976000 is 6790532101.

It can be written as a sum of positive squares in 8 ways, for example, as 1698758656 + 1010652217344 = 41216^2 + 1005312^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1012350976003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10436607952 + ... + 10436608048.

Almost surely, 2^{1012350976000} is an apocalyptic number.

1012350976000 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 1012350976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599049231416).

1012350976000 is an abundant number, since it is smaller than the sum of its proper divisors (2185747486832).

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

1012350976000 is an frugal number, since it uses more digits than its factorization.

1012350976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The spelling of 1012350976000 in words is "one trillion, twelve billion, three hundred fifty million, nine hundred seventy-six thousand".