1012020011200 has 168 divisors, whose sum is σ = 2720918778624. Its totient is φ = 367420032000.

The previous prime is 1012020011183. The next prime is 1012020011213. The reversal of 1012020011200 is 21100202101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11060037 + ... + 11151163.

Almost surely, 2^{1012020011200} is an apocalyptic number.

1012020011200 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 1012020011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360459389312).

1012020011200 is an abundant number, since it is smaller than the sum of its proper divisors (1708898767424).

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

1012020011200 is a wasteful number, since it uses less digits than its factorization.

1012020011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91791 (or 91776 counting only the distinct ones).

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

Adding to 1012020011200 its reverse (21100202101), we get a palindrome (1033120213301).

The spelling of 1012020011200 in words is "one trillion, twelve billion, twenty million, eleven thousand, two hundred".