133212133414400 has 120 divisors (see below), whose sum is σ = 331701983962800. Its totient is φ = 53017089269760.

The previous prime is 133212133414387. The next prime is 133212133414421. The reversal of 133212133414400 is 4414331212331.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23601539 + ... + 28695938.

It is an arithmetic number, because the mean of its divisors is an integer number (2764183199690).

Almost surely, 2^{133212133414400} is an apocalyptic number.

133212133414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133212133414400 is an abundant number, since it is smaller than the sum of its proper divisors (198489850548400).

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

133212133414400 is an equidigital number, since it uses as much as digits as its factorization.

133212133414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52297704 (or 52297683 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 133212133414400 its reverse (4414331212331), we get a palindrome (137626464626731).

The spelling of 133212133414400 in words is "one hundred thirty-three trillion, two hundred twelve billion, one hundred thirty-three million, four hundred fourteen thousand, four hundred".