11864120136 has 128 divisors (see below), whose sum is σ = 33375836160. Its totient is φ = 3483488000.

The previous prime is 11864120077. The next prime is 11864120137. The reversal of 11864120136 is 63102146811.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 11864120097 and 11864120106.

It is not an unprimeable number, because it can be changed into a prime (11864120137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1248475 + ... + 1257941.

It is an arithmetic number, because the mean of its divisors is an integer number (260748720).

Almost surely, 2^11864120136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11864120136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16687918080).

11864120136 is an abundant number, since it is smaller than the sum of its proper divisors (21511716024).

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

11864120136 is a wasteful number, since it uses less digits than its factorization.

11864120136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9635 (or 9631 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

Adding to 11864120136 its reverse (63102146811), we get a palindrome (74966266947).

The spelling of 11864120136 in words is "eleven billion, eight hundred sixty-four million, one hundred twenty thousand, one hundred thirty-six".