122100120 has 192 divisors, whose sum is σ = 427602240. Its totient is φ = 30105600.

The previous prime is 122100107. The next prime is 122100127. The reversal of 122100120 is 21001221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434380 + ... + 434660.

It is an arithmetic number, because the mean of its divisors is an integer number (2227095).

Almost surely, 2^122100120 is an apocalyptic number.

122100120 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 122100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213801120).

122100120 is an abundant number, since it is smaller than the sum of its proper divisors (305502120).

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

122100120 is a wasteful number, since it uses less digits than its factorization.

122100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 122100120 is about 11049.8923071675. The cubic root of 122100120 is about 496.1032021639.

Adding to 122100120 its reverse (21001221), we get a palindrome (143101341).

The spelling of 122100120 in words is "one hundred twenty-two million, one hundred thousand, one hundred twenty".