1225627200 has 630 divisors, whose sum is σ = 5267776866. Its totient is φ = 278691840.

The previous prime is 1225627187. The next prime is 1225627211. The reversal of 1225627200 is 27265221.

1225627200 is a `hidden beast` number, since 12 + 2 + 5 + 627 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 16257024 + 1209370176 = 4032^2 + 34776^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 89 ways as a sum of consecutive naturals, for example, 6350304 + ... + 6350496.

Almost surely, 2^1225627200 is an apocalyptic number.

1225627200 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 1225627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633888433).

1225627200 is an abundant number, since it is smaller than the sum of its proper divisors (4042149666).

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

1225627200 is a wasteful number, since it uses less digits than its factorization.

1225627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1225627200 is about 35008.9588534135. The cubic root of 1225627200 is about 1070.1700606050.

The spelling of 1225627200 in words is "one billion, two hundred twenty-five million, six hundred twenty-seven thousand, two hundred".