1149276211200 has 720 divisors, whose sum is σ = 4584325685940. Its totient is φ = 282885488640.

The previous prime is 1149276211199. The next prime is 1149276211231. The reversal of 1149276211200 is 21126729411.

1149276211200 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 2 + 7 + 621 + 1 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 630461408256 + 518814802944 = 794016^2 + 720288^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53902942 + ... + 53924258.

Almost surely, 2^{1149276211200} is an apocalyptic number.

1149276211200 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 1149276211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292162842970).

1149276211200 is an abundant number, since it is smaller than the sum of its proper divisors (3435049474740).

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

1149276211200 is a wasteful number, since it uses less digits than its factorization.

1149276211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21374 (or 21340 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1149276211200 in words is "one trillion, one hundred forty-nine billion, two hundred seventy-six million, two hundred eleven thousand, two hundred".