122120022011200 has 168 divisors, whose sum is σ = 317334226684608. Its totient is φ = 46161239224320.

The previous prime is 122120022011149. The next prime is 122120022011237. The reversal of 122120022011200 is 2110220021221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16936437 + ... + 23045236.

It is an arithmetic number, because the mean of its divisors is an integer number (1888894206456).

Almost surely, 2^{122120022011200} is an apocalyptic number.

122120022011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120022011200 is an abundant number, since it is smaller than the sum of its proper divisors (195214204673408).

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

122120022011200 is a wasteful number, since it uses less digits than its factorization.

122120022011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39981801 (or 39981786 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122120022011200 its reverse (2110220021221), we get a palindrome (124230242032421).

It can be divided in two parts, 1221200 and 22011200, that added together give a square (23232400 = 4820²).

The spelling of 122120022011200 in words is "one hundred twenty-two trillion, one hundred twenty billion, twenty-two million, eleven thousand, two hundred".