11802107381200 has 30 divisors (see below), whose sum is σ = 28354562984294. Its totient is φ = 4720842952320.

The previous prime is 11802107381191. The next prime is 11802107381219. The reversal of 11802107381200 is 218370120811.

11802107381200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1653117061696 + 10148990319504 = 1285736^2 + 3185748^2 .

It is a super-2 number, since 2×11802107381200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14752633827 + ... + 14752634626.

Almost surely, 2^{11802107381200} is an apocalyptic number.

11802107381200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11802107381200 is an abundant number, since it is smaller than the sum of its proper divisors (16552455603094).

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

11802107381200 is a wasteful number, since it uses less digits than its factorization.

11802107381200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29505268471 (or 29505268460 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 34.

The spelling of 11802107381200 in words is "eleven trillion, eight hundred two billion, one hundred seven million, three hundred eighty-one thousand, two hundred".