1149901200 has 180 divisors, whose sum is σ = 4560644608. Its totient is φ = 262828800.

The previous prime is 1149901171. The next prime is 1149901217. The reversal of 1149901200 is 21099411.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1149901200² = 2644545539522880000, which contains 22 as substring.

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, 2385 + ... + 48015.

Almost surely, 2^1149901200 is an apocalyptic number.

1149901200 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 1149901200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280322304).

1149901200 is an abundant number, since it is smaller than the sum of its proper divisors (3410743408).

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

1149901200 is a wasteful number, since it uses less digits than its factorization.

1149901200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45662 (or 45648 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1149901200 is about 33910.1931578102. The cubic root of 1149901200 is about 1047.6595489130.

The spelling of 1149901200 in words is "one billion, one hundred forty-nine million, nine hundred one thousand, two hundred".