122020000022112 has 48 divisors (see below), whose sum is σ = 320324267883312. Its totient is φ = 40670569172480.

The previous prime is 122020000022093. The next prime is 122020000022147. The reversal of 122020000022112 is 211220000020221.

122020000022112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 122020000022091 and 122020000022100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41769939 + ... + 44595602.

It is an arithmetic number, because the mean of its divisors is an integer number (6673422247569).

Almost surely, 2^{122020000022112} is an apocalyptic number.

122020000022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122020000022112 is an abundant number, since it is smaller than the sum of its proper divisors (198304267861200).

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

122020000022112 is a wasteful number, since it uses less digits than its factorization.

122020000022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86380271 (or 86380263 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122020000022112 its reverse (211220000020221), we get a palindrome (333240000042333).

The spelling of 122020000022112 in words is "one hundred twenty-two trillion, twenty billion, twenty-two thousand, one hundred twelve".