12120009894720 has 2688 divisors, whose sum is σ = 56545910784000. Its totient is φ = 2387552993280.

The previous prime is 12120009894719. The next prime is 12120009894767. The reversal of 12120009894720 is 2749890002121.

It is a super-2 number, since 2×12120009894720² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9188786221 + ... + 9188787539.

Almost surely, 2^{12120009894720} is an apocalyptic number.

12120009894720 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 12120009894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28272955392000).

12120009894720 is an abundant number, since it is smaller than the sum of its proper divisors (44425900889280).

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

12120009894720 is a wasteful number, since it uses less digits than its factorization.

12120009894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

Adding to 12120009894720 its reverse (2749890002121), we get a palindrome (14869899896841).

The spelling of 12120009894720 in words is "twelve trillion, one hundred twenty billion, nine million, eight hundred ninety-four thousand, seven hundred twenty".