12120046941600 has 432 divisors, whose sum is σ = 46041386725152. Its totient is φ = 2982390958080.

The previous prime is 12120046941599. The next prime is 12120046941659. The reversal of 12120046941600 is 614964002121.

12120046941600 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 0 + 0 + 4 + 6 + 9 + 41 + 600 = 666.

12120046941600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 299780587 + ... + 299821013.

It is an arithmetic number, because the mean of its divisors is an integer number (106577284086).

Almost surely, 2^{12120046941600} is an apocalyptic number.

12120046941600 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 12120046941600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23020693362576).

12120046941600 is an abundant number, since it is smaller than the sum of its proper divisors (33921339783552).

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

12120046941600 is a wasteful number, since it uses less digits than its factorization.

12120046941600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43669 (or 43653 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12120046941600 in words is "twelve trillion, one hundred twenty billion, forty-six million, nine hundred forty-one thousand, six hundred".