1171252800 has 252 divisors, whose sum is σ = 4196842000. Its totient is φ = 309795840.

The previous prime is 1171252799. The next prime is 1171252829. The reversal of 1171252800 is 82521711.

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, 2346951 + ... + 2347449.

Almost surely, 2^1171252800 is an apocalyptic number.

1171252800 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 1171252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098421000).

1171252800 is an abundant number, since it is smaller than the sum of its proper divisors (3025589200).

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

1171252800 is a wasteful number, since it uses less digits than its factorization.

1171252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 1171252800 is about 34223.5708247985. The cubic root of 1171252800 is about 1054.1042087974.

The spelling of 1171252800 in words is "one billion, one hundred seventy-one million, two hundred fifty-two thousand, eight hundred".