1109208661200 has 360 divisors, whose sum is σ = 3969691727040. Its totient is φ = 286676275200.

The previous prime is 1109208661193. The next prime is 1109208661229. The reversal of 1109208661200 is 21668029011.

1109208661200 is a `hidden beast` number, since 1 + 10 + 9 + 20 + 8 + 6 + 612 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15043624 + ... + 15117176.

It is an arithmetic number, because the mean of its divisors is an integer number (11026921464).

Almost surely, 2^{1109208661200} is an apocalyptic number.

1109208661200 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 1109208661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984845863520).

1109208661200 is an abundant number, since it is smaller than the sum of its proper divisors (2860483065840).

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

1109208661200 is a wasteful number, since it uses less digits than its factorization.

1109208661200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73707 (or 73693 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 1109208661200 in words is "one trillion, one hundred nine billion, two hundred eight million, six hundred sixty-one thousand, two hundred".