122012120200 has 96 divisors (see below), whose sum is σ = 285044601960. Its totient is φ = 48570368000.

The previous prime is 122012120189. The next prime is 122012120213. The reversal of 122012120200 is 2021210221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1176627204 + 120835492996 = 34302^2 + 347614^2 .

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, 43558800 + ... + 43561600.

Almost surely, 2^122012120200 is an apocalyptic number.

122012120200 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 122012120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142522300980).

122012120200 is an abundant number, since it is smaller than the sum of its proper divisors (163032481760).

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

122012120200 is a wasteful number, since it uses less digits than its factorization.

122012120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122012120200 its reverse (2021210221), we get a palindrome (124033330421).

The spelling of 122012120200 in words is "one hundred twenty-two billion, twelve million, one hundred twenty thousand, two hundred".