12051199160 has 768 divisors, whose sum is σ = 40816742400. Its totient is φ = 3135283200.

The previous prime is 12051199157. The next prime is 12051199177. The reversal of 12051199160 is 6199115021.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 12051199160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 165084884 + ... + 165084956.

It is an arithmetic number, because the mean of its divisors is an integer number (53146800).

Almost surely, 2^12051199160 is an apocalyptic number.

12051199160 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 12051199160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20408371200).

12051199160 is an abundant number, since it is smaller than the sum of its proper divisors (28765543240).

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

12051199160 is a wasteful number, since it uses less digits than its factorization.

12051199160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 35.

The spelling of 12051199160 in words is "twelve billion, fifty-one million, one hundred ninety-nine thousand, one hundred sixty".