122122111000000 has 392 divisors, whose sum is σ = 316364062988160. Its totient is φ = 46683964800000.

The previous prime is 122122110999943. The next prime is 122122111000039. The reversal of 122122111000000 is 111221221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 45516998659 + ... + 45517001341.

Almost surely, 2^{122122111000000} is an apocalyptic number.

122122111000000 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 122122111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158182031494080).

122122111000000 is an abundant number, since it is smaller than the sum of its proper divisors (194241951988160).

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

122122111000000 is an frugal number, since it uses more digits than its factorization.

122122111000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4727 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122122111000000 its reverse (111221221), we get a palindrome (122122222221221).

The spelling of 122122111000000 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred eleven million", and thus it is an aban number.