1011120109956 has 144 divisors (see below), whose sum is σ = 2815060248000. Its totient is φ = 303455289600.

The previous prime is 1011120109933. The next prime is 1011120109957. The reversal of 1011120109956 is 6599010211101.

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 1011120109956.

It is not an unprimeable number, because it can be changed into a prime (1011120109957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145502370 + ... + 145509318.

It is an arithmetic number, because the mean of its divisors is an integer number (19549029500).

Almost surely, 2^{1011120109956} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011120109956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407530124000).

1011120109956 is an abundant number, since it is smaller than the sum of its proper divisors (1803940138044).

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

1011120109956 is a wasteful number, since it uses less digits than its factorization.

1011120109956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10450 (or 10445 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 36.

The spelling of 1011120109956 in words is "one trillion, eleven billion, one hundred twenty million, one hundred nine thousand, nine hundred fifty-six".