1295251200 has 324 divisors, whose sum is σ = 4695272400. Its totient is φ = 340623360.

The previous prime is 1295251183. The next prime is 1295251229. The reversal of 1295251200 is 21525921.

1295251200 is a `hidden beast` number, since 12 + 9 + 525 + 120 + 0 = 666.

It is a super-2 number, since 2×1295251200² = 3355351342202880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6508701 + ... + 6508899.

Almost surely, 2^1295251200 is an apocalyptic number.

1295251200 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 1295251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347636200).

1295251200 is an abundant number, since it is smaller than the sum of its proper divisors (3400021200).

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

1295251200 is a wasteful number, since it uses less digits than its factorization.

1295251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1295251200 is about 35989.5984973436. The cubic root of 1295251200 is about 1090.0623368664.

The spelling of 1295251200 in words is "one billion, two hundred ninety-five million, two hundred fifty-one thousand, two hundred".