131222448000 has 1152 divisors, whose sum is σ = 565585675200. Its totient is φ = 28527206400.

The previous prime is 131222447999. The next prime is 131222448023. The reversal of 131222448000 is 844222131.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×131222448000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1958543967 + ... + 1958544033.

Almost surely, 2^131222448000 is an apocalyptic number.

131222448000 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 131222448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282792837600).

131222448000 is an abundant number, since it is smaller than the sum of its proper divisors (434363227200).

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

131222448000 is an equidigital number, since it uses as much as digits as its factorization.

131222448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 131222448000 in words is "one hundred thirty-one billion, two hundred twenty-two million, four hundred forty-eight thousand".