123631200 has 432 divisors, whose sum is σ = 545965056. Its totient is φ = 25574400.

The previous prime is 123631181. The next prime is 123631213. The reversal of 123631200 is 2136321.

123631200 is a `hidden beast` number, since 12 + 3 + 631 + 20 + 0 = 666.

It is a super-2 number, since 2×123631200² = 30569347226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 554289 + ... + 554511.

It is an arithmetic number, because the mean of its divisors is an integer number (1263808).

Almost surely, 2^123631200 is an apocalyptic number.

123631200 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 123631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272982528).

123631200 is an abundant number, since it is smaller than the sum of its proper divisors (422333856).

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

123631200 is a wasteful number, since it uses less digits than its factorization.

123631200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 123631200 is about 11118.9567855982. The cubic root of 123631200 is about 498.1682307714.

Adding to 123631200 its reverse (2136321), we get a palindrome (125767521).

The spelling of 123631200 in words is "one hundred twenty-three million, six hundred thirty-one thousand, two hundred".