20121010111120 has 40 divisors (see below), whose sum is σ = 47574252731520. Its totient is φ = 7911990414720.

The previous prime is 20121010111117. The next prime is 20121010111127. The reversal of 20121010111120 is 2111101012102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 20121010111120.

It is not an unprimeable number, because it can be changed into a prime (20121010111127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2131458216 + ... + 2131467655.

It is an arithmetic number, because the mean of its divisors is an integer number (1189356318288).

Almost surely, 2^{20121010111120} is an apocalyptic number.

20121010111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121010111120 is an abundant number, since it is smaller than the sum of its proper divisors (27453242620400).

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

20121010111120 is a wasteful number, since it uses less digits than its factorization.

20121010111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262925943 (or 4262925937 counting only the distinct ones).

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

Adding to 20121010111120 its reverse (2111101012102), we get a palindrome (22232111123222).

The spelling of 20121010111120 in words is "twenty trillion, one hundred twenty-one billion, ten million, one hundred eleven thousand, one hundred twenty".