12123001296 has 160 divisors (see below), whose sum is σ = 40000177920. Its totient is φ = 3443544576.

The previous prime is 12123001279. The next prime is 12123001307. The reversal of 12123001296 is 69210032121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511566 + ... + 534738.

It is an arithmetic number, because the mean of its divisors is an integer number (250001112).

Almost surely, 2^12123001296 is an apocalyptic number.

12123001296 is a gapful number since it is divisible by the number (16) 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 12123001296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20000088960).

12123001296 is an abundant number, since it is smaller than the sum of its proper divisors (27877176624).

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

12123001296 is a wasteful number, since it uses less digits than its factorization.

12123001296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23370 (or 23358 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 12123001296 in words is "twelve billion, one hundred twenty-three million, one thousand, two hundred ninety-six".