133222232400 has 60 divisors (see below), whose sum is σ = 426755221632. Its totient is φ = 35525928320.

The previous prime is 133222232359. The next prime is 133222232491. The reversal of 133222232400 is 4232222331.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55508064 + ... + 55510463.

Almost surely, 2^133222232400 is an apocalyptic number.

133222232400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133222232400 is an abundant number, since it is smaller than the sum of its proper divisors (293532989232).

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

133222232400 is a wasteful number, since it uses less digits than its factorization.

133222232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111018548 (or 111018537 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 133222232400 its reverse (4232222331), we get a palindrome (137454454731).

The spelling of 133222232400 in words is "one hundred thirty-three billion, two hundred twenty-two million, two hundred thirty-two thousand, four hundred".