12098080960 has 336 divisors, whose sum is σ = 35450044416. Its totient is φ = 3844786176.

The previous prime is 12098080933. The next prime is 12098080961. The reversal of 12098080960 is 6908089021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (12098080961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95260417 + ... + 95260543.

Almost surely, 2^12098080960 is an apocalyptic number.

12098080960 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 12098080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17725022208).

12098080960 is an abundant number, since it is smaller than the sum of its proper divisors (23351963456).

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

12098080960 is a wasteful number, since it uses less digits than its factorization.

12098080960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The spelling of 12098080960 in words is "twelve billion, ninety-eight million, eighty thousand, nine hundred sixty".