1186997011200 has 3888 divisors, whose sum is σ = 6176349125856. Its totient is φ = 213044428800.

The previous prime is 1186997011139. The next prime is 1186997011231. The reversal of 1186997011200 is 21107996811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6861254314 + ... + 6861254486.

It is an arithmetic number, because the mean of its divisors is an integer number (1588567162).

Almost surely, 2^{1186997011200} is an apocalyptic number.

1186997011200 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 1186997011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088174562928).

1186997011200 is an abundant number, since it is smaller than the sum of its proper divisors (4989352114656).

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

1186997011200 is a wasteful number, since it uses less digits than its factorization.

1186997011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 45.

The spelling of 1186997011200 in words is "one trillion, one hundred eighty-six billion, nine hundred ninety-seven million, eleven thousand, two hundred".