12414379020120 has 3840 divisors, whose sum is σ = 58120191360000. Its totient is φ = 2365884702720.

The previous prime is 12414379020107. The next prime is 12414379020143. The reversal of 12414379020120 is 2102097341421.

12414379020120 is a `hidden beast` number, since 1 + 2 + 414 + 37 + 9 + 0 + 201 + 2 + 0 = 666.

It is a super-2 number, since 2×12414379020120² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 109861761184 + ... + 109861761296.

It is an arithmetic number, because the mean of its divisors is an integer number (15135466500).

Almost surely, 2^{12414379020120} is an apocalyptic number.

12414379020120 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 12414379020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29060095680000).

12414379020120 is an abundant number, since it is smaller than the sum of its proper divisors (45705812339880).

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

12414379020120 is a wasteful number, since it uses less digits than its factorization.

12414379020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12414379020120 in words is "twelve trillion, four hundred fourteen billion, three hundred seventy-nine million, twenty thousand, one hundred twenty".