12240097920 has 960 divisors, whose sum is σ = 50014720800. Its totient is φ = 2842656768.

The previous prime is 12240097913. The next prime is 12240097949. The reversal of 12240097920 is 2979004221.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 284653419 + ... + 284653461.

Almost surely, 2^12240097920 is an apocalyptic number.

12240097920 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 12240097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25007360400).

12240097920 is an abundant number, since it is smaller than the sum of its proper divisors (37774622880).

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

12240097920 is a wasteful number, since it uses less digits than its factorization.

12240097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 12240097920 in words is "twelve billion, two hundred forty million, ninety-seven thousand, nine hundred twenty".