1011112012120 has 256 divisors, whose sum is σ = 2752690913280. Its totient is φ = 326918592000.

The previous prime is 1011112012109. The next prime is 1011112012219. The reversal of 1011112012120 is 212102111101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1011112012120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172807195 + ... + 172813045.

It is an arithmetic number, because the mean of its divisors is an integer number (10752698880).

Almost surely, 2^{1011112012120} is an apocalyptic number.

1011112012120 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 1011112012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376345456640).

1011112012120 is an abundant number, since it is smaller than the sum of its proper divisors (1741578901160).

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

1011112012120 is a wasteful number, since it uses less digits than its factorization.

1011112012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1011112012120 its reverse (212102111101), we get a palindrome (1223214123221).

The spelling of 1011112012120 in words is "one trillion, eleven billion, one hundred twelve million, twelve thousand, one hundred twenty".