1152772200 has 288 divisors, whose sum is σ = 4065335040. Its totient is φ = 292377600.

The previous prime is 1152772183. The next prime is 1152772211. The reversal of 1152772200 is 22772511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4073259 + ... + 4073541.

Almost surely, 2^1152772200 is an apocalyptic number.

1152772200 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 1152772200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032667520).

1152772200 is an abundant number, since it is smaller than the sum of its proper divisors (2912562840).

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

1152772200 is a wasteful number, since it uses less digits than its factorization.

1152772200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 1152772200 is about 33952.4991716368. The cubic root of 1152772200 is about 1048.5307341297.

The spelling of 1152772200 in words is "one billion, one hundred fifty-two million, seven hundred seventy-two thousand, two hundred".