123411233343200 has 576 divisors, whose sum is σ = 347405988593664. Its totient is φ = 42388980480000.

The previous prime is 123411233343193. The next prime is 123411233343217. The reversal of 123411233343200 is 2343332114321.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21947575589 + ... + 21947581211.

It is an arithmetic number, because the mean of its divisors is an integer number (603135396864).

Almost surely, 2^{123411233343200} is an apocalyptic number.

123411233343200 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 123411233343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173702994296832).

123411233343200 is an abundant number, since it is smaller than the sum of its proper divisors (223994755250464).

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

123411233343200 is a wasteful number, since it uses less digits than its factorization.

123411233343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7599 (or 7586 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 123411233343200 its reverse (2343332114321), we get a palindrome (125754565457521).

The spelling of 123411233343200 in words is "one hundred twenty-three trillion, four hundred eleven billion, two hundred thirty-three million, three hundred forty-three thousand, two hundred".