132201231200400 has 240 divisors, whose sum is σ = 433876752324864. Its totient is φ = 34393344061440.

The previous prime is 132201231200377. The next prime is 132201231200491. The reversal of 132201231200400 is 4002132102231.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×132201231200400² (a number of 29 digits) contains 22 as substring.

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, 13908802 + ... + 21397598.

Almost surely, 2^{132201231200400} is an apocalyptic number.

132201231200400 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 132201231200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216938376162432).

132201231200400 is an abundant number, since it is smaller than the sum of its proper divisors (301675521124464).

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

132201231200400 is a wasteful number, since it uses less digits than its factorization.

132201231200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7489178 (or 7489167 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 132201231200400 its reverse (4002132102231), we get a palindrome (136203363302631).

The spelling of 132201231200400 in words is "one hundred thirty-two trillion, two hundred one billion, two hundred thirty-one million, two hundred thousand, four hundred".