12461343405120 has 672 divisors, whose sum is σ = 45332366576640. Its totient is φ = 3136955351040.

The previous prime is 12461343405109. The next prime is 12461343405167. The reversal of 12461343405120 is 2150434316421.

12461343405120 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 134 + 3 + 4 + 0 + 512 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 3873589752 + ... + 3873592968.

Almost surely, 2^{12461343405120} is an apocalyptic number.

12461343405120 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 12461343405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22666183288320).

12461343405120 is an abundant number, since it is smaller than the sum of its proper divisors (32871023171520).

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

12461343405120 is a wasteful number, since it uses less digits than its factorization.

12461343405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12461343405120 in words is "twelve trillion, four hundred sixty-one billion, three hundred forty-three million, four hundred five thousand, one hundred twenty".