11606601174120 has 192 divisors, whose sum is σ = 39185205433920. Its totient is φ = 3089819395584.

The previous prime is 11606601174101. The next prime is 11606601174173. The reversal of 11606601174120 is 2147110660611.

11606601174120 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 6 + 601 + 1 + 7 + 41 + 2 + 0 = 666.

11606601174120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4688524 + ... + 6722756.

It is an arithmetic number, because the mean of its divisors is an integer number (204089611635).

Almost surely, 2^{11606601174120} is an apocalyptic number.

11606601174120 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 11606601174120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19592602716960).

11606601174120 is an abundant number, since it is smaller than the sum of its proper divisors (27578604259800).

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

11606601174120 is a wasteful number, since it uses less digits than its factorization.

11606601174120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034846 (or 2034830 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11606601174120 in words is "eleven trillion, six hundred six billion, six hundred one million, one hundred seventy-four thousand, one hundred twenty".