1020112012000 has 48 divisors (see below), whose sum is σ = 2506415223312. Its totient is φ = 408044803200.

The previous prime is 1020112011973. The next prime is 1020112012001. The reversal of 1020112012000 is 2102110201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020112012001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 127510002 + ... + 127518001.

It is an arithmetic number, because the mean of its divisors is an integer number (52216983819).

Almost surely, 2^{1020112012000} is an apocalyptic number.

1020112012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020112012000 is an abundant number, since it is smaller than the sum of its proper divisors (1486303211312).

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

1020112012000 is an equidigital number, since it uses as much as digits as its factorization.

1020112012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255028028 (or 255028010 counting only the distinct ones).

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

Adding to 1020112012000 its reverse (2102110201), we get a palindrome (1022214122201).

The spelling of 1020112012000 in words is "one trillion, twenty billion, one hundred twelve million, twelve thousand".