120100000022112 has 96 divisors (see below), whose sum is σ = 343936466907264. Its totient is φ = 36392485478400.

The previous prime is 120100000022083. The next prime is 120100000022207. The reversal of 120100000022112 is 211220000001021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×120100000022112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24321408 + ... + 28839744.

It is an arithmetic number, because the mean of its divisors is an integer number (3582671530284).

Almost surely, 2^{120100000022112} is an apocalyptic number.

120100000022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120100000022112 is an abundant number, since it is smaller than the sum of its proper divisors (223836466885152).

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

120100000022112 is a wasteful number, since it uses less digits than its factorization.

120100000022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4543532 (or 4543524 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120100000022112 its reverse (211220000001021), we get a palindrome (331320000023133).

The spelling of 120100000022112 in words is "one hundred twenty trillion, one hundred billion, twenty-two thousand, one hundred twelve".