1012332013200 has 180 divisors, whose sum is σ = 3527775338880. Its totient is φ = 268825455360.

The previous prime is 1012332013171. The next prime is 1012332013241. The reversal of 1012332013200 is 23102332101.

1012332013200 is a `hidden beast` number, since 1 + 0 + 1 + 23 + 320 + 1 + 320 + 0 = 666.

1012332013200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1012332013200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 272109 + ... + 1448691.

Almost surely, 2^{1012332013200} is an apocalyptic number.

1012332013200 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 1012332013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763887669440).

1012332013200 is an abundant number, since it is smaller than the sum of its proper divisors (2515443325680).

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

1012332013200 is a wasteful number, since it uses less digits than its factorization.

1012332013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176846 (or 1176832 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1012332013200 its reverse (23102332101), we get a palindrome (1035434345301).

The spelling of 1012332013200 in words is "one trillion, twelve billion, three hundred thirty-two million, thirteen thousand, two hundred".