12602120763738 has 192 divisors, whose sum is σ = 28601642764800. Its totient is φ = 3697318204800.

The previous prime is 12602120763737. The next prime is 12602120763779. The reversal of 12602120763738 is 83736702120621.

It is not an unprimeable number, because it can be changed into a prime (12602120763731) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1176773128 + ... + 1176783836.

It is an arithmetic number, because the mean of its divisors is an integer number (148966889400).

Almost surely, 2^{12602120763738} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12602120763738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14300821382400).

12602120763738 is an abundant number, since it is smaller than the sum of its proper divisors (15999522001062).

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

12602120763738 is a wasteful number, since it uses less digits than its factorization.

12602120763738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11209 (or 11198 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 12602120763738 in words is "twelve trillion, six hundred two billion, one hundred twenty million, seven hundred sixty-three thousand, seven hundred thirty-eight".