1113300012120 has 256 divisors, whose sum is σ = 3535923456000. Its totient is φ = 279639392256.

The previous prime is 1113300012113. The next prime is 1113300012133. The reversal of 1113300012120 is 212100033111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1113300012120.

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 63 ways as a sum of consecutive naturals, for example, 551957352 + ... + 551959368.

It is an arithmetic number, because the mean of its divisors is an integer number (13812201000).

Almost surely, 2^{1113300012120} is an apocalyptic number.

1113300012120 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 1113300012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767961728000).

1113300012120 is an abundant number, since it is smaller than the sum of its proper divisors (2422623443880).

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

1113300012120 is a wasteful number, since it uses less digits than its factorization.

1113300012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1113300012120 its reverse (212100033111), we get a palindrome (1325400045231).

The spelling of 1113300012120 in words is "one trillion, one hundred thirteen billion, three hundred million, twelve thousand, one hundred twenty".