120012100022112 has 48 divisors (see below), whose sum is σ = 315240255171072. Its totient is φ = 39977558088320.

The previous prime is 120012100022093. The next prime is 120012100022117. The reversal of 120012100022112 is 211220001210021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×120012100022112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120012100022091 and 120012100022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120012100022117) 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, 413530008 + ... + 413820119.

It is an arithmetic number, because the mean of its divisors is an integer number (6567505316064).

Almost surely, 2^{120012100022112} is an apocalyptic number.

120012100022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120012100022112 is an abundant number, since it is smaller than the sum of its proper divisors (195228155148960).

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

120012100022112 is a wasteful number, since it uses less digits than its factorization.

120012100022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827351651 (or 827351643 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120012100022112 its reverse (211220001210021), we get a palindrome (331232101232133).

The spelling of 120012100022112 in words is "one hundred twenty trillion, twelve billion, one hundred million, twenty-two thousand, one hundred twelve".