122122112212000 has 192 divisors, whose sum is σ = 301339235957760. Its totient is φ = 48639762432000.

The previous prime is 122122112211991. The next prime is 122122112212043. The reversal of 122122112212000 is 212211221221.

It is a super-2 number, since 2×122122112212000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2795110155 + ... + 2795153845.

It is an arithmetic number, because the mean of its divisors is an integer number (1569475187280).

Almost surely, 2^{122122112212000} is an apocalyptic number.

122122112212000 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 122122112212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150669617978880).

122122112212000 is an abundant number, since it is smaller than the sum of its proper divisors (179217123745760).

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

122122112212000 is a wasteful number, since it uses less digits than its factorization.

122122112212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46692 (or 46674 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122122112212000 its reverse (212211221221), we get a palindrome (122334323433221).

The spelling of 122122112212000 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred twelve million, two hundred twelve thousand".