12405962077380 has 288 divisors, whose sum is σ = 41012682305280. Its totient is φ = 3112709160960.

The previous prime is 12405962077349. The next prime is 12405962077391. The reversal of 12405962077380 is 8377026950421.

It is a happy number.

12405962077380 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 5 + 9 + 620 + 7 + 7 + 3 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 615334500 + ... + 615354660.

It is a 1-persistent number, because it is pandigital, but 2⋅12405962077380 = 24811924154760 is not.

Almost surely, 2^{12405962077380} is an apocalyptic number.

12405962077380 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 12405962077380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20506341152640).

12405962077380 is an abundant number, since it is smaller than the sum of its proper divisors (28606720227900).

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

12405962077380 is a wasteful number, since it uses less digits than its factorization.

12405962077380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24156 (or 24131 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 12405962077380 in words is "twelve trillion, four hundred five billion, nine hundred sixty-two million, seventy-seven thousand, three hundred eighty".