1012112020000 has 60 divisors (see below), whose sum is σ = 2489947435206. Its totient is φ = 404844800000.

The previous prime is 1012112019979. The next prime is 1012112020063. The reversal of 1012112020000 is 202112101.

It can be written as a sum of positive squares in 5 ways, for example, as 70800695056 + 941311324944 = 266084^2 + 970212^2 .

It is a super-3 number, since 3×1012112020000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 25282801 + ... + 25322800.

Almost surely, 2^{1012112020000} is an apocalyptic number.

1012112020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012112020000 is an abundant number, since it is smaller than the sum of its proper divisors (1477835415206).

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

1012112020000 is an frugal number, since it uses more digits than its factorization.

1012112020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50605631 (or 50605608 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1012112020000 its reverse (202112101), we get a palindrome (1012314132101).

The spelling of 1012112020000 in words is "one trillion, twelve billion, one hundred twelve million, twenty thousand".