122220031131000 has 384 divisors, whose sum is σ = 470252447907840. Its totient is φ = 28340876256000.

The previous prime is 122220031130971. The next prime is 122220031131001. The reversal of 122220031131000 is 131130022221.

122220031131000 is a `hidden beast` number, since 1 + 2 + 22 + 20 + 0 + 311 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×122220031131000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122220031131001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24560952 + ... + 29114951.

It is an arithmetic number, because the mean of its divisors is an integer number (1224615749760).

Almost surely, 2^{122220031131000} is an apocalyptic number.

122220031131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122220031131000 is an abundant number, since it is smaller than the sum of its proper divisors (348032416776840).

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

122220031131000 is a wasteful number, since it uses less digits than its factorization.

122220031131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53675964 (or 53675947 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122220031131000 its reverse (131130022221), we get a palindrome (122351161153221).

The spelling of 122220031131000 in words is "one hundred twenty-two trillion, two hundred twenty billion, thirty-one million, one hundred thirty-one thousand".