1225118400 has 168 divisors, whose sum is σ = 4384999104. Its totient is φ = 296985600.

The previous prime is 1225118399. The next prime is 1225118443. The reversal of 1225118400 is 48115221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41199 + ... + 64401.

Almost surely, 2^1225118400 is an apocalyptic number.

1225118400 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 1225118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192499552).

1225118400 is an abundant number, since it is smaller than the sum of its proper divisors (3159880704).

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

1225118400 is a wasteful number, since it uses less digits than its factorization.

1225118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23239 (or 23224 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 1225118400 is about 35001.6913877030. The cubic root of 1225118400 is about 1070.0219519763.

The spelling of 1225118400 in words is "one billion, two hundred twenty-five million, one hundred eighteen thousand, four hundred".