12098352240 has 640 divisors, whose sum is σ = 47246976000. Its totient is φ = 2824851456.

The previous prime is 12098352229. The next prime is 12098352251. The reversal of 12098352240 is 4225389021.

It is a happy number.

12098352240 is a `hidden beast` number, since 1 + 2 + 0 + 98 + 3 + 522 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (12098352229) and next prime (12098352251).

It is a super-2 number, since 2×12098352240² (a number of 21 digits) contains 22 as substring.

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 = 12098352195 and 12098352204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67588471 + ... + 67588649.

It is an arithmetic number, because the mean of its divisors is an integer number (73823400).

Almost surely, 2^12098352240 is an apocalyptic number.

12098352240 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 12098352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23623488000).

12098352240 is an abundant number, since it is smaller than the sum of its proper divisors (35148623760).

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

12098352240 is a wasteful number, since it uses less digits than its factorization.

12098352240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12098352240 in words is "twelve billion, ninety-eight million, three hundred fifty-two thousand, two hundred forty".