10032020011200 has 336 divisors, whose sum is σ = 35926676366976. Its totient is φ = 2430571315200.

The previous prime is 10032020011193. The next prime is 10032020011229. The reversal of 10032020011200 is 211002023001.

10032020011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90919264 + ... + 91029536.

Almost surely, 2^{10032020011200} is an apocalyptic number.

10032020011200 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 10032020011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17963338183488).

10032020011200 is an abundant number, since it is smaller than the sum of its proper divisors (25894656355776).

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

10032020011200 is a wasteful number, since it uses less digits than its factorization.

10032020011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112032 (or 112017 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10032020011200 its reverse (211002023001), we get a palindrome (10243022034201).

The spelling of 10032020011200 in words is "ten trillion, thirty-two billion, twenty million, eleven thousand, two hundred".