11917850112000 has 2080 divisors, whose sum is σ = 51687849992064. Its totient is φ = 2675441664000.

The previous prime is 11917850111941. The next prime is 11917850112011. The reversal of 11917850112000 is 21105871911.

11917850112000 is a `hidden beast` number, since 1 + 19 + 17 + 8 + 501 + 120 + 0 + 0 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17708543664 + ... + 17708544336.

Almost surely, 2^{11917850112000} is an apocalyptic number.

11917850112000 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 11917850112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25843924996032).

11917850112000 is an abundant number, since it is smaller than the sum of its proper divisors (39769999880064).

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

11917850112000 is an frugal number, since it uses more digits than its factorization.

11917850112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 36.

Adding to 11917850112000 its reverse (21105871911), we get a palindrome (11938955983911).

The spelling of 11917850112000 in words is "eleven trillion, nine hundred seventeen billion, eight hundred fifty million, one hundred twelve thousand".