11834061120 has 392 divisors, whose sum is σ = 48292902144. Its totient is φ = 2704555008.

The previous prime is 11834061119. The next prime is 11834061133. The reversal of 11834061120 is 2116043811.

It is a happy number.

11834061120 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 40 + 611 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1629337 + ... + 1636583.

Almost surely, 2^11834061120 is an apocalyptic number.

11834061120 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 11834061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24146451072).

11834061120 is an abundant number, since it is smaller than the sum of its proper divisors (36458841024).

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

11834061120 is an frugal number, since it uses more digits than its factorization.

11834061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7289 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11834061120 in words is "eleven billion, eight hundred thirty-four million, sixty-one thousand, one hundred twenty".