11981275200 has 252 divisors, whose sum is σ = 42681883140. Its totient is φ = 3187691520.

The previous prime is 11981275193. The next prime is 11981275223. The reversal of 11981275200 is 257218911.

It is a happy number.

11981275200 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 127 + 520 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3251736576 + 8729538624 = 57024^2 + 93432^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9748186 + ... + 9749414.

Almost surely, 2^11981275200 is an apocalyptic number.

11981275200 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 11981275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21340941570).

11981275200 is an abundant number, since it is smaller than the sum of its proper divisors (30700607940).

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

11981275200 is a wasteful number, since it uses less digits than its factorization.

11981275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 11981275200 in words is "eleven billion, nine hundred eighty-one million, two hundred seventy-five thousand, two hundred".