11202112000000 has 364 divisors, whose sum is σ = 28295063365428. Its totient is φ = 4433920000000.

The previous prime is 11202111999961. The next prime is 11202112000039. The reversal of 11202112000000 is 21120211.

It is an interprime number because it is at equal distance from previous prime (11202111999961) and next prime (11202112000039).

It can be written as a sum of positive squares in 14 ways, for example, as 10915570192384 + 286541807616 = 3303872^2 + 535296^2 .

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 27 ways as a sum of consecutive naturals, for example, 6463999134 + ... + 6464000866.

Almost surely, 2^{11202112000000} is an apocalyptic number.

11202112000000 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 11202112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14147531682714).

11202112000000 is an abundant number, since it is smaller than the sum of its proper divisors (17092951365428).

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

11202112000000 is an frugal number, since it uses more digits than its factorization.

11202112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1841 counting only the distinct ones).

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

Adding to 11202112000000 its reverse (21120211), we get a palindrome (11202133120211).

The spelling of 11202112000000 in words is "eleven trillion, two hundred two billion, one hundred twelve million", and thus it is an aban number.