1012112122120 has 64 divisors (see below), whose sum is σ = 2484439128000. Its totient is φ = 368016487680.

The previous prime is 1012112122097. The next prime is 1012112122127. The reversal of 1012112122120 is 212212112101.

It is a junction number, because it is equal to n+sod(n) for n = 1012112122094 and 1012112122103.

It is not an unprimeable number, because it can be changed into a prime (1012112122127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7446531 + ... + 7581229.

It is an arithmetic number, because the mean of its divisors is an integer number (38819361375).

Almost surely, 2^{1012112122120} is an apocalyptic number.

1012112122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012112122120 is an abundant number, since it is smaller than the sum of its proper divisors (1472327005880).

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

1012112122120 is a wasteful number, since it uses less digits than its factorization.

1012112122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151798 (or 151794 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1012112122120 its reverse (212212112101), we get a palindrome (1224324234221).

The spelling of 1012112122120 in words is "one trillion, twelve billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".