122111331000 has 128 divisors (see below), whose sum is σ = 381135792960. Its totient is φ = 32550336000.

The previous prime is 122111330987. The next prime is 122111331011. The reversal of 122111331000 is 133111221.

It is a happy number.

It is a super-2 number, since 2×122111331000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9656682 + ... + 9669318.

Almost surely, 2^122111331000 is an apocalyptic number.

122111331000 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 122111331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190567896480).

122111331000 is an abundant number, since it is smaller than the sum of its proper divisors (259024461960).

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

122111331000 is a wasteful number, since it uses less digits than its factorization.

122111331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15882 (or 15868 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 122111331000 its reverse (133111221), we get a palindrome (122244442221).

The spelling of 122111331000 in words is "one hundred twenty-two billion, one hundred eleven million, three hundred thirty-one thousand".