123420400 has 30 divisors (see below), whose sum is σ = 296518472. Its totient is φ = 49368000.

The previous prime is 123420383. The next prime is 123420403. The reversal of 123420400 is 4024321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123420403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 153876 + ... + 154675.

Almost surely, 2^123420400 is an apocalyptic number.

123420400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123420400 is an abundant number, since it is smaller than the sum of its proper divisors (173098072).

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

123420400 is a wasteful number, since it uses less digits than its factorization.

123420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308569 (or 308558 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 123420400 is about 11109.4734348663. The cubic root of 123420400 is about 497.8849322593.

Adding to 123420400 its reverse (4024321), we get a palindrome (127444721).

The spelling of 123420400 in words is "one hundred twenty-three million, four hundred twenty thousand, four hundred".