123412132400 has 180 divisors, whose sum is σ = 320923289952. Its totient is φ = 45582151680.

The previous prime is 123412132387. The next prime is 123412132411. The reversal of 123412132400 is 4231214321.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6116729 + ... + 6136871.

Almost surely, 2^123412132400 is an apocalyptic number.

123412132400 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 123412132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160461644976).

123412132400 is an abundant number, since it is smaller than the sum of its proper divisors (197511157552).

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

123412132400 is a wasteful number, since it uses less digits than its factorization.

123412132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20248 (or 20220 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 123412132400 its reverse (4231214321), we get a palindrome (127643346721).

The spelling of 123412132400 in words is "one hundred twenty-three billion, four hundred twelve million, one hundred thirty-two thousand, four hundred".