12120840466560 has 3072 divisors, whose sum is σ = 55780822056960. Its totient is φ = 2450895667200.

The previous prime is 12120840466541. The next prime is 12120840466561. The reversal of 12120840466560 is 6566404802121.

It is a happy number.

12120840466560 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 0 + 8 + 40 + 46 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12120840466561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21227391075 + ... + 21227391645.

It is an arithmetic number, because the mean of its divisors is an integer number (18157819680).

Almost surely, 2^{12120840466560} is an apocalyptic number.

12120840466560 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 12120840466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27890411028480).

12120840466560 is an abundant number, since it is smaller than the sum of its proper divisors (43659981590400).

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

12120840466560 is a wasteful number, since it uses less digits than its factorization.

12120840466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 12120840466560 in words is "twelve trillion, one hundred twenty billion, eight hundred forty million, four hundred sixty-six thousand, five hundred sixty".