131222311224200 has 384 divisors, whose sum is σ = 368392771353600. Its totient is φ = 42533852160000.

The previous prime is 131222311224149. The next prime is 131222311224223. The reversal of 131222311224200 is 2422113222131.

131222311224200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 131222311224200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 272237006 + ... + 272718594.

It is an arithmetic number, because the mean of its divisors is an integer number (959356175400).

Almost surely, 2^{131222311224200} is an apocalyptic number.

131222311224200 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 131222311224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184196385676800).

131222311224200 is an abundant number, since it is smaller than the sum of its proper divisors (237170460129400).

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

131222311224200 is a wasteful number, since it uses less digits than its factorization.

131222311224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481801 (or 481792 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 131222311224200 its reverse (2422113222131), we get a palindrome (133644424446331).

The spelling of 131222311224200 in words is "one hundred thirty-one trillion, two hundred twenty-two billion, three hundred eleven million, two hundred twenty-four thousand, two hundred".