122133220200 has 384 divisors, whose sum is σ = 429535008000. Its totient is φ = 31889894400.

The previous prime is 122133220177. The next prime is 122133220283. The reversal of 122133220200 is 2022331221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60192786 + ... + 60194814.

It is an arithmetic number, because the mean of its divisors is an integer number (1118580750).

Almost surely, 2^122133220200 is an apocalyptic number.

122133220200 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 122133220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214767504000).

122133220200 is an abundant number, since it is smaller than the sum of its proper divisors (307401787800).

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

122133220200 is a wasteful number, since it uses less digits than its factorization.

122133220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122133220200 its reverse (2022331221), we get a palindrome (124155551421).

The spelling of 122133220200 in words is "one hundred twenty-two billion, one hundred thirty-three million, two hundred twenty thousand, two hundred".