122121311000 has 128 divisors (see below), whose sum is σ = 310572662400. Its totient is φ = 44676748800.

The previous prime is 122121310973. The next prime is 122121311009. The reversal of 122121311000 is 113121221.

It is a super-2 number, since 2×122121311000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121311009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1373909 + ... + 1460091.

It is an arithmetic number, because the mean of its divisors is an integer number (2426348925).

Almost surely, 2^122121311000 is an apocalyptic number.

122121311000 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 122121311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155286331200).

122121311000 is an abundant number, since it is smaller than the sum of its proper divisors (188451351400).

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

122121311000 is a wasteful number, since it uses less digits than its factorization.

122121311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86326 (or 86312 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 122121311000 its reverse (113121221), we get a palindrome (122234432221).

The spelling of 122121311000 in words is "one hundred twenty-two billion, one hundred twenty-one million, three hundred eleven thousand".