11202112020000 has 480 divisors, whose sum is σ = 40111520004864. Its totient is φ = 2713910400000.

The previous prime is 11202112019981. The next prime is 11202112020013. The reversal of 11202112020000 is 2021120211.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1232215455 + ... + 1232224545.

Almost surely, 2^{11202112020000} is an apocalyptic number.

11202112020000 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 11202112020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20055760002432).

11202112020000 is an abundant number, since it is smaller than the sum of its proper divisors (28909407984864).

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

11202112020000 is a wasteful number, since it uses less digits than its factorization.

11202112020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11002 (or 10979 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11202112020000 its reverse (2021120211), we get a palindrome (11204133140211).

It can be divided in two parts, 11202 and 112020000, that multiplied together give a square (1254848040000 = 1120200²).

The spelling of 11202112020000 in words is "eleven trillion, two hundred two billion, one hundred twelve million, twenty thousand".