11133382065120 has 1440 divisors, whose sum is σ = 47158497273888. Its totient is φ = 2383409774592.

The previous prime is 11133382065089. The next prime is 11133382065139. The reversal of 11133382065120 is 2156028333111.

11133382065120 is a `hidden beast` number, since 1 + 1 + 133 + 3 + 8 + 2 + 0 + 6 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×11133382065120² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 18044379052 + ... + 18044379668.

Almost surely, 2^{11133382065120} is an apocalyptic number.

11133382065120 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 11133382065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23579248636944).

11133382065120 is an abundant number, since it is smaller than the sum of its proper divisors (36025115208768).

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

11133382065120 is a wasteful number, since it uses less digits than its factorization.

11133382065120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11133382065120 in words is "eleven trillion, one hundred thirty-three billion, three hundred eighty-two million, sixty-five thousand, one hundred twenty".