123611342313400 has 192 divisors, whose sum is σ = 305664475150080. Its totient is φ = 46328109004800.

The previous prime is 123611342313337. The next prime is 123611342313457. The reversal of 123611342313400 is 4313243116321.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 744370779 + ... + 744536821.

It is an arithmetic number, because the mean of its divisors is an integer number (1592002474740).

Almost surely, 2^{123611342313400} is an apocalyptic number.

123611342313400 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 123611342313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152832237575040).

123611342313400 is an abundant number, since it is smaller than the sum of its proper divisors (182053132836680).

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

123611342313400 is a wasteful number, since it uses less digits than its factorization.

123611342313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167054 (or 167045 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

Adding to 123611342313400 its reverse (4313243116321), we get a palindrome (127924585429721).

The spelling of 123611342313400 in words is "one hundred twenty-three trillion, six hundred eleven billion, three hundred forty-two million, three hundred thirteen thousand, four hundred".