122120786700 has 432 divisors, whose sum is σ = 435921161760. Its totient is φ = 29304000000.

The previous prime is 122120786663. The next prime is 122120786759. The reversal of 122120786700 is 7687021221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32994850 + ... + 32998550.

Almost surely, 2^122120786700 is an apocalyptic number.

122120786700 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 122120786700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217960580880).

122120786700 is an abundant number, since it is smaller than the sum of its proper divisors (313800375060).

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

122120786700 is a wasteful number, since it uses less digits than its factorization.

122120786700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 122120786700 in words is "one hundred twenty-two billion, one hundred twenty million, seven hundred eighty-six thousand, seven hundred".