122120120314200 has 192 divisors, whose sum is σ = 379809472736160. Its totient is φ = 32458971525120.

The previous prime is 122120120314183. The next prime is 122120120314259. The reversal of 122120120314200 is 2413021021221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1965305532 + ... + 1965367668.

Almost surely, 2^{122120120314200} is an apocalyptic number.

122120120314200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122120120314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189904736368080).

122120120314200 is an abundant number, since it is smaller than the sum of its proper divisors (257689352421960).

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

122120120314200 is a wasteful number, since it uses less digits than its factorization.

122120120314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72806 (or 72797 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 122120120314200 its reverse (2413021021221), we get a palindrome (124533141335421).

The spelling of 122120120314200 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred twenty million, three hundred fourteen thousand, two hundred".