12120362496 has 240 divisors, whose sum is σ = 38316440448. Its totient is φ = 3657830400.

The previous prime is 12120362473. The next prime is 12120362497. The reversal of 12120362496 is 69426302121.

It is a happy number.

12120362496 is a `hidden beast` number, since 1 + 2 + 1 + 20 + 3 + 624 + 9 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12120362496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120362497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24684811 + ... + 24685301.

Almost surely, 2^12120362496 is an apocalyptic number.

12120362496 is a gapful number since it is divisible by the number (16) 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 12120362496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19158220224).

12120362496 is an abundant number, since it is smaller than the sum of its proper divisors (26196077952).

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

12120362496 is a wasteful number, since it uses less digits than its factorization.

12120362496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12120362496 in words is "twelve billion, one hundred twenty million, three hundred sixty-two thousand, four hundred ninety-six".