12119759136 has 384 divisors, whose sum is σ = 38742520320. Its totient is φ = 3717550080.

The previous prime is 12119759131. The next prime is 12119759147. The reversal of 12119759136 is 63195791121.

12119759136 is a `hidden beast` number, since 1 + 21 + 1 + 9 + 7 + 591 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12119759091 and 12119759100.

It is not an unprimeable number, because it can be changed into a prime (12119759131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72573325 + ... + 72573491.

It is an arithmetic number, because the mean of its divisors is an integer number (100891980).

Almost surely, 2^12119759136 is an apocalyptic number.

12119759136 is a gapful number since it is divisible by the number (16) 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 12119759136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19371260160).

12119759136 is an abundant number, since it is smaller than the sum of its proper divisors (26622761184).

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

12119759136 is an equidigital number, since it uses as much as digits as its factorization.

12119759136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 250 counting only the distinct ones).

The product of its digits is 102060, while the sum is 45.

The spelling of 12119759136 in words is "twelve billion, one hundred nineteen million, seven hundred fifty-nine thousand, one hundred thirty-six".