122233130131200 has 432 divisors, whose sum is σ = 444424225779072. Its totient is φ = 29338880000000.

The previous prime is 122233130131199. The next prime is 122233130131249. The reversal of 122233130131200 is 2131031332221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18466075 + ... + 24196325.

It is an arithmetic number, because the mean of its divisors is an integer number (1028759781896).

Almost surely, 2^{122233130131200} is an apocalyptic number.

122233130131200 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 122233130131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222212112889536).

122233130131200 is an abundant number, since it is smaller than the sum of its proper divisors (322191095647872).

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

122233130131200 is a wasteful number, since it uses less digits than its factorization.

122233130131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730392 (or 5730373 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 122233130131200 its reverse (2131031332221), we get a palindrome (124364161463421).

The spelling of 122233130131200 in words is "one hundred twenty-two trillion, two hundred thirty-three billion, one hundred thirty million, one hundred thirty-one thousand, two hundred".