12740380773120 has 6480 divisors, whose sum is σ = 66869365812480. Its totient is φ = 2282486169600.

The previous prime is 12740380773097. The next prime is 12740380773143. The reversal of 12740380773120 is 2137708304721.

12740380773120 is a `hidden beast` number, since 12 + 74 + 0 + 380 + 7 + 73 + 120 = 666.

12740380773120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12740380773097) and next prime (12740380773143).

It is a tau number, because it is divible by the number of its divisors (6480).

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 polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 179441982685 + ... + 179441982755.

It is an arithmetic number, because the mean of its divisors is an integer number (10319346576).

Almost surely, 2^{12740380773120} is an apocalyptic number.

12740380773120 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 12740380773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33434682906240).

12740380773120 is an abundant number, since it is smaller than the sum of its proper divisors (54128985039360).

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

12740380773120 is a wasteful number, since it uses less digits than its factorization.

12740380773120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 12740380773120 in words is "twelve trillion, seven hundred forty billion, three hundred eighty million, seven hundred seventy-three thousand, one hundred twenty".