12119153760 has 288 divisors, whose sum is σ = 47370173760. Its totient is φ = 2763915264.

The previous prime is 12119153747. The next prime is 12119153777. The reversal of 12119153760 is 6735191121.

It is a happy number.

12119153760 is a `hidden beast` number, since 1 + 2 + 119 + 1 + 537 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 5734464 + ... + 5736576.

It is an arithmetic number, because the mean of its divisors is an integer number (164479770).

Almost surely, 2^12119153760 is an apocalyptic number.

12119153760 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 12119153760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23685086880).

12119153760 is an abundant number, since it is smaller than the sum of its proper divisors (35251020000).

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

12119153760 is a wasteful number, since it uses less digits than its factorization.

12119153760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 12119153760 in words is "twelve billion, one hundred nineteen million, one hundred fifty-three thousand, seven hundred sixty".