12120909024 has 192 divisors, whose sum is σ = 37135687680. Its totient is φ = 3390021120.

The previous prime is 12120909023. The next prime is 12120909079. The reversal of 12120909024 is 42090902121.

It is a happy number.

It is a Cunningham number, because it is equal to 110095²-1.

It is a super-3 number, since 3×12120909024³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12120908982 and 12120909000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120909023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12330037 + ... + 12331019.

It is an arithmetic number, because the mean of its divisors is an integer number (193415040).

Almost surely, 2^12120909024 is an apocalyptic number.

12120909024 is a gapful number since it is divisible by the number (14) 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 12120909024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18567843840).

12120909024 is an abundant number, since it is smaller than the sum of its proper divisors (25014778656).

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

12120909024 is a wasteful number, since it uses less digits than its factorization.

12120909024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 12120909024 in words is "twelve billion, one hundred twenty million, nine hundred nine thousand, twenty-four".