12407350800078 has 192 divisors, whose sum is σ = 32700366074880. Its totient is φ = 3459467423808.

The previous prime is 12407350800041. The next prime is 12407350800083. The reversal of 12407350800078 is 87000805370421.

12407350800078 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 73 + 508 + 0 + 0 + 0 + 78 = 666.

It is a super-5 number, since 5×12407350800078⁵ (a number of 67 digits) contains 55555 as substring.

It is a congruent number.

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, 4764375 + ... + 6893037.

It is an arithmetic number, because the mean of its divisors is an integer number (170314406640).

Almost surely, 2^{12407350800078} is an apocalyptic number.

12407350800078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12407350800078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16350183037440).

12407350800078 is an abundant number, since it is smaller than the sum of its proper divisors (20293015274802).

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

12407350800078 is a wasteful number, since it uses less digits than its factorization.

12407350800078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128748 (or 2128723 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 12407350800078 in words is "twelve trillion, four hundred seven billion, three hundred fifty million, eight hundred thousand, seventy-eight".