123453200 has 60 divisors (see below), whose sum is σ = 319424868. Its totient is φ = 45580800.

The previous prime is 123453199. The next prime is 123453217. The reversal of 123453200 is 2354321.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 65536 + 123387664 = 256^2 + 11108^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6671 + ... + 17070.

Almost surely, 2^123453200 is an apocalyptic number.

123453200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123453200 is an abundant number, since it is smaller than the sum of its proper divisors (195971668).

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

123453200 is a wasteful number, since it uses less digits than its factorization.

123453200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23772 (or 23761 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 123453200 is about 11110.9495543810. The cubic root of 123453200 is about 497.9290340429.

The spelling of 123453200 in words is "one hundred twenty-three million, four hundred fifty-three thousand, two hundred".