12126852738 has 256 divisors, whose sum is σ = 37355028480. Its totient is φ = 2813356800.

The previous prime is 12126852719. The next prime is 12126852761. The reversal of 12126852738 is 83725862121.

It is a junction number, because it is equal to n+sod(n) for n = 12126852693 and 12126852702.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1672056 + ... + 1679292.

It is an arithmetic number, because the mean of its divisors is an integer number (145918080).

Almost surely, 2^12126852738 is an apocalyptic number.

12126852738 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 12126852738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18677514240).

12126852738 is an abundant number, since it is smaller than the sum of its proper divisors (25228175742).

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

12126852738 is a wasteful number, since it uses less digits than its factorization.

12126852738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7310 (or 7304 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 12126852738 in words is "twelve billion, one hundred twenty-six million, eight hundred fifty-two thousand, seven hundred thirty-eight".