123026400 has 216 divisors, whose sum is σ = 495999504. Its totient is φ = 28108800.

The previous prime is 123026359. The next prime is 123026413. The reversal of 123026400 is 4620321.

It is a happy number.

123026400 is a `hidden beast` number, since 1 + 23 + 0 + 2 + 640 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 49180 + ... + 51620.

It is an arithmetic number, because the mean of its divisors is an integer number (2296294).

Almost surely, 2^123026400 is an apocalyptic number.

123026400 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 123026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247999752).

123026400 is an abundant number, since it is smaller than the sum of its proper divisors (372973104).

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

123026400 is a wasteful number, since it uses less digits than its factorization.

123026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 123026400 is about 11091.7266464694. The cubic root of 123026400 is about 497.3545613267.

Adding to 123026400 its reverse (4620321), we get a palindrome (127646721).

The spelling of 123026400 in words is "one hundred twenty-three million, twenty-six thousand, four hundred".