122133021210 has 128 divisors (see below), whose sum is σ = 337358649600. Its totient is φ = 31404683520.

The previous prime is 122133021163. The next prime is 122133021229. The reversal of 122133021210 is 12120331221.

122133021210 is a `hidden beast` number, since 122 + 1 + 330 + 2 + 1 + 210 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 6230725 + ... + 6250295.

It is an arithmetic number, because the mean of its divisors is an integer number (2635614450).

Almost surely, 2^122133021210 is an apocalyptic number.

122133021210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122133021210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168679324800).

122133021210 is an abundant number, since it is smaller than the sum of its proper divisors (215225628390).

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

122133021210 is a wasteful number, since it uses less digits than its factorization.

122133021210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20413 (or 20407 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122133021210 its reverse (12120331221), we get a palindrome (134253352431).

The spelling of 122133021210 in words is "one hundred twenty-two billion, one hundred thirty-three million, twenty-one thousand, two hundred ten".