123133221322200 has 1152 divisors, whose sum is σ = 445204596957120. Its totient is φ = 31603654656000.

The previous prime is 123133221322171. The next prime is 123133221322201. The reversal of 123133221322200 is 2223122331321.

123133221322200 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 3 + 322 + 132 + 2 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123133221322201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 68369361300 + ... + 68369363100.

Almost surely, 2^{123133221322200} is an apocalyptic number.

123133221322200 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 123133221322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222602298478560).

123133221322200 is an abundant number, since it is smaller than the sum of its proper divisors (322071375634920).

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

123133221322200 is a wasteful number, since it uses less digits than its factorization.

123133221322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 123133221322200 its reverse (2223122331321), we get a palindrome (125356343653521).

The spelling of 123133221322200 in words is "one hundred twenty-three trillion, one hundred thirty-three billion, two hundred twenty-one million, three hundred twenty-two thousand, two hundred".