12240301920 has 1152 divisors, whose sum is σ = 54506898432. Its totient is φ = 2289745920.

The previous prime is 12240301841. The next prime is 12240301963. The reversal of 12240301920 is 2910304221.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 532187029 + ... + 532187051.

It is an arithmetic number, because the mean of its divisors is an integer number (47315016).

Almost surely, 2^12240301920 is an apocalyptic number.

12240301920 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 12240301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27253449216).

12240301920 is an abundant number, since it is smaller than the sum of its proper divisors (42266596512).

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

12240301920 is a wasteful number, since it uses less digits than its factorization.

12240301920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 12240301920 in words is "twelve billion, two hundred forty million, three hundred one thousand, nine hundred twenty".