1225268000 has 96 divisors (see below), whose sum is σ = 3284281728. Its totient is φ = 445536000.

The previous prime is 1225267999. The next prime is 1225268003. The reversal of 1225268000 is 8625221.

It is not an unprimeable number, because it can be changed into a prime (1225268003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30077 + ... + 57923.

It is an arithmetic number, because the mean of its divisors is an integer number (34211268).

Almost surely, 2^1225268000 is an apocalyptic number.

1225268000 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 1225268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642140864).

1225268000 is an abundant number, since it is smaller than the sum of its proper divisors (2059013728).

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

1225268000 is a wasteful number, since it uses less digits than its factorization.

1225268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27883 (or 27865 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 1225268000 is about 35003.8283620521. The cubic root of 1225268000 is about 1070.0655038945.

The spelling of 1225268000 in words is "one billion, two hundred twenty-five million, two hundred sixty-eight thousand".