11891203449120 has 384 divisors, whose sum is σ = 42242075527680. Its totient is φ = 3123609108480.

The previous prime is 11891203449017. The next prime is 11891203449131. The reversal of 11891203449120 is 2194430219811.

11891203449120 is a `hidden beast` number, since 1 + 1 + 8 + 9 + 120 + 34 + 491 + 2 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365900712 + ... + 365933208.

It is an arithmetic number, because the mean of its divisors is an integer number (110005405020).

Almost surely, 2^{11891203449120} is an apocalyptic number.

11891203449120 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 11891203449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21121037763840).

11891203449120 is an abundant number, since it is smaller than the sum of its proper divisors (30350872078560).

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

11891203449120 is a wasteful number, since it uses less digits than its factorization.

11891203449120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33785 (or 33771 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11891203449120 in words is "eleven trillion, eight hundred ninety-one billion, two hundred three million, four hundred forty-nine thousand, one hundred twenty".