1225552000 has 64 divisors (see below), whose sum is σ = 3047068440. Its totient is φ = 490214400.

The previous prime is 1225551979. The next prime is 1225552057. The reversal of 1225552000 is 2555221.

It can be written as a sum of positive squares in 4 ways, for example, as 659873344 + 565678656 = 25688^2 + 23784^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22299 + ... + 54298.

Almost surely, 2^1225552000 is an apocalyptic number.

1225552000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1225552000 is an abundant number, since it is smaller than the sum of its proper divisors (1821516440).

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

1225552000 is an frugal number, since it uses more digits than its factorization.

1225552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76626 (or 76604 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 1225552000 is about 35007.8848261360. The cubic root of 1225552000 is about 1070.1481729177.

The spelling of 1225552000 in words is "one billion, two hundred twenty-five million, five hundred fifty-two thousand".