122021131331000 has 128 divisors (see below), whose sum is σ = 315753612557760. Its totient is φ = 43763493888000.

The previous prime is 122021131330997. The next prime is 122021131331059. The reversal of 122021131331000 is 133131120221.

It is a happy number.

122021131331000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122021131331000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 75175289 + ... + 76781288.

Almost surely, 2^{122021131331000} is an apocalyptic number.

122021131331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122021131331000 is an abundant number, since it is smaller than the sum of its proper divisors (193732481226760).

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

122021131331000 is a wasteful number, since it uses less digits than its factorization.

122021131331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151956682 (or 151956668 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 122021131331000 its reverse (133131120221), we get a palindrome (122154262451221).

The spelling of 122021131331000 in words is "one hundred twenty-two trillion, twenty-one billion, one hundred thirty-one million, three hundred thirty-one thousand".