123132400 has 30 divisors (see below), whose sum is σ = 295826552. Its totient is φ = 49252800.

The previous prime is 123132367. The next prime is 123132419. The reversal of 123132400 is 4231321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 153516 + ... + 154315.

Almost surely, 2^123132400 is an apocalyptic number.

123132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123132400 is an abundant number, since it is smaller than the sum of its proper divisors (172694152).

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

123132400 is a wasteful number, since it uses less digits than its factorization.

123132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307849 (or 307838 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 123132400 is about 11096.5039539487. The cubic root of 123132400 is about 497.4973611638.

Adding to 123132400 its reverse (4231321), we get a palindrome (127363721).

The spelling of 123132400 in words is "one hundred twenty-three million, one hundred thirty-two thousand, four hundred".