11121953100336 has 240 divisors, whose sum is σ = 34611308123392. Its totient is φ = 3310821734400.

The previous prime is 11121953100283. The next prime is 11121953100373. The reversal of 11121953100336 is 63300135912111.

11121953100336 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 1 + 9 + 5 + 310 + 0 + 336 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11121953100336.

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, 223572426 + ... + 223622166.

Almost surely, 2^{11121953100336} is an apocalyptic number.

11121953100336 is a gapful number since it is divisible by the number (16) 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 11121953100336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17305654061696).

11121953100336 is an abundant number, since it is smaller than the sum of its proper divisors (23489355023056).

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

11121953100336 is a wasteful number, since it uses less digits than its factorization.

11121953100336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53652 (or 53643 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 11121953100336 in words is "eleven trillion, one hundred twenty-one billion, nine hundred fifty-three million, one hundred thousand, three hundred thirty-six".