123314410542200 has 192 divisors, whose sum is σ = 310944616128000. Its totient is φ = 45330677360640.

The previous prime is 123314410542199. The next prime is 123314410542223. The reversal of 123314410542200 is 2245014413321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17126711 + ... + 23236889.

It is an arithmetic number, because the mean of its divisors is an integer number (1619503209000).

Almost surely, 2^{123314410542200} is an apocalyptic number.

123314410542200 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 123314410542200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155472308064000).

123314410542200 is an abundant number, since it is smaller than the sum of its proper divisors (187630205585800).

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

123314410542200 is a wasteful number, since it uses less digits than its factorization.

123314410542200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6110374 (or 6110365 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 123314410542200 its reverse (2245014413321), we get a palindrome (125559424955521).

The spelling of 123314410542200 in words is "one hundred twenty-three trillion, three hundred fourteen billion, four hundred ten million, five hundred forty-two thousand, two hundred".