120122002022112 has 96 divisors (see below), whose sum is σ = 356294073945600. Its totient is φ = 39362011945344.

The previous prime is 120122002022017. The next prime is 120122002022153. The reversal of 120122002022112 is 211220200221021.

It is a happy number.

120122002022112 is a `hidden beast` number, since 1 + 201 + 220 + 0 + 20 + 221 + 1 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1178170168 + ... + 1178272119.

It is an arithmetic number, because the mean of its divisors is an integer number (3711396603600).

Almost surely, 2^{120122002022112} is an apocalyptic number.

120122002022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120122002022112 is an abundant number, since it is smaller than the sum of its proper divisors (236172071923488).

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

120122002022112 is a wasteful number, since it uses less digits than its factorization.

120122002022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356442365 (or 2356442351 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120122002022112 its reverse (211220200221021), we get a palindrome (331342202243133).

The spelling of 120122002022112 in words is "one hundred twenty trillion, one hundred twenty-two billion, two million, twenty-two thousand, one hundred twelve".