1225612800 has 180 divisors, whose sum is σ = 4386542160. Its totient is φ = 326799360.

The previous prime is 1225612783. The next prime is 1225612831. The reversal of 1225612800 is 82165221.

It is a happy number.

1225612800 is a `hidden beast` number, since 1 + 22 + 561 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 109881 + ... + 120519.

Almost surely, 2^1225612800 is an apocalyptic number.

1225612800 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 1225612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193271080).

1225612800 is an abundant number, since it is smaller than the sum of its proper divisors (3160929360).

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

1225612800 is a wasteful number, since it uses less digits than its factorization.

1225612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10673 (or 10649 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1225612800 is about 35008.7531911663. The cubic root of 1225612800 is about 1070.1658694150.

The spelling of 1225612800 in words is "one billion, two hundred twenty-five million, six hundred twelve thousand, eight hundred".