122122122120 has 160 divisors (see below), whose sum is σ = 410868025920. Its totient is φ = 32534006400.

The previous prime is 122122122107. The next prime is 122122122137. The reversal of 122122122120 is 21221221221.

It is a happy number.

122122122120 is a `hidden beast` number, since 1 + 221 + 221 + 221 + 2 + 0 = 666.

It is a super-2 number, since 2×122122122120² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 122122122093 and 122122122102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3387309 + ... + 3423171.

It is an arithmetic number, because the mean of its divisors is an integer number (2567925162).

Almost surely, 2^122122122120 is an apocalyptic number.

122122122120 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 122122122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205434012960).

122122122120 is an abundant number, since it is smaller than the sum of its proper divisors (288745903800).

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

122122122120 is a wasteful number, since it uses less digits than its factorization.

122122122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36937 (or 36924 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122122122120 its reverse (21221221221), we get a palindrome (143343343341).

The spelling of 122122122120 in words is "one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".