1295227200 has 168 divisors, whose sum is σ = 4280306400. Its totient is φ = 342886400.

The previous prime is 1295227147. The next prime is 1295227223. The reversal of 1295227200 is 27225921.

It is a super-2 number, since 2×1295227200² = 3355226999239680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714295 + ... + 716105.

Almost surely, 2^1295227200 is an apocalyptic number.

1295227200 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 1295227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140153200).

1295227200 is an abundant number, since it is smaller than the sum of its proper divisors (2985079200).

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

1295227200 is a wasteful number, since it uses less digits than its factorization.

1295227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1295227200 is about 35989.2650661277. The cubic root of 1295227200 is about 1090.0556041550.

The spelling of 1295227200 in words is "one billion, two hundred ninety-five million, two hundred twenty-seven thousand, two hundred".