123411151312200 has 288 divisors, whose sum is σ = 429015452135400. Its totient is φ = 31754956800000.

The previous prime is 123411151312193. The next prime is 123411151312223. The reversal of 123411151312200 is 2213151114321.

123411151312200 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 111 + 513 + 12 + 20 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 28108298579076 + 95302852733124 = 5301726^2 + 9762318^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82833850 + ... + 84310550.

Almost surely, 2^{123411151312200} is an apocalyptic number.

123411151312200 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 123411151312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214507726067700).

123411151312200 is an abundant number, since it is smaller than the sum of its proper divisors (305604300823200).

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

123411151312200 is a wasteful number, since it uses less digits than its factorization.

123411151312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478353 (or 1478341 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 123411151312200 in words is "one hundred twenty-three trillion, four hundred eleven billion, one hundred fifty-one million, three hundred twelve thousand, two hundred".