133220312012400 has 240 divisors, whose sum is σ = 447265083273984. Its totient is φ = 33831136317440.

The previous prime is 133220312012371. The next prime is 133220312012401. The reversal of 133220312012400 is 4210213022331.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133220312012401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4366569 + ... + 16896968.

Almost surely, 2^{133220312012400} is an apocalyptic number.

133220312012400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133220312012400 is an abundant number, since it is smaller than the sum of its proper divisors (314044771261584).

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

133220312012400 is a wasteful number, since it uses less digits than its factorization.

133220312012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21263808 (or 21263797 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 133220312012400 its reverse (4210213022331), we get a palindrome (137430525034731).

The spelling of 133220312012400 in words is "one hundred thirty-three trillion, two hundred twenty billion, three hundred twelve million, twelve thousand, four hundred".