12098712240 has 240 divisors, whose sum is σ = 42335504640. Its totient is φ = 3092981760.

The previous prime is 12098712229. The next prime is 12098712247. The reversal of 12098712240 is 4221789021.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12098712195 and 12098712204.

It is not an unprimeable number, because it can be changed into a prime (12098712247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2430394 + ... + 2435366.

It is an arithmetic number, because the mean of its divisors is an integer number (176397936).

Almost surely, 2^12098712240 is an apocalyptic number.

12098712240 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 12098712240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21167752320).

12098712240 is an abundant number, since it is smaller than the sum of its proper divisors (30236792400).

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

12098712240 is a wasteful number, since it uses less digits than its factorization.

12098712240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5132 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12098712240 in words is "twelve billion, ninety-eight million, seven hundred twelve thousand, two hundred forty".