12407114247330 has 512 divisors, whose sum is σ = 35210066411520. Its totient is φ = 2768822784000.

The previous prime is 12407114247289. The next prime is 12407114247337. The reversal of 12407114247330 is 3374241170421.

It is not an unprimeable number, because it can be changed into a prime (12407114247337) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6717440467 + ... + 6717442313.

It is an arithmetic number, because the mean of its divisors is an integer number (68769660960).

Almost surely, 2^{12407114247330} is an apocalyptic number.

12407114247330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12407114247330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17605033205760).

12407114247330 is an abundant number, since it is smaller than the sum of its proper divisors (22802952164190).

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

12407114247330 is a wasteful number, since it uses less digits than its factorization.

12407114247330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306.

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 12407114247330 in words is "twelve trillion, four hundred seven billion, one hundred fourteen million, two hundred forty-seven thousand, three hundred thirty".