122133123133200 has 360 divisors, whose sum is σ = 442287623351808. Its totient is φ = 31151098091520.

The previous prime is 122133123133121. The next prime is 122133123133207. The reversal of 122133123133200 is 2331321331221.

122133123133200 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 312 + 313 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (122133123133207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2342965537 + ... + 2343017663.

Almost surely, 2^{122133123133200} is an apocalyptic number.

122133123133200 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 122133123133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221143811675904).

122133123133200 is an abundant number, since it is smaller than the sum of its proper divisors (320154500218608).

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

122133123133200 is a wasteful number, since it uses less digits than its factorization.

122133123133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80471 (or 80457 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 122133123133200 its reverse (2331321331221), we get a palindrome (124464444464421).

The spelling of 122133123133200 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred twenty-three million, one hundred thirty-three thousand, two hundred".