12562264000 has 448 divisors, whose sum is σ = 37278259200. Its totient is φ = 4133376000.

The previous prime is 12562263949. The next prime is 12562264007. The reversal of 12562264000 is 46226521.

It is a self number, because there is not a number n which added to its sum of digits gives 12562264000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12562264007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90375931 + ... + 90376069.

It is an arithmetic number, because the mean of its divisors is an integer number (83210400).

Almost surely, 2^12562264000 is an apocalyptic number.

12562264000 is a gapful number since it is divisible by the number (10) 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 12562264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18639129600).

12562264000 is an abundant number, since it is smaller than the sum of its proper divisors (24715995200).

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

12562264000 is a wasteful number, since it uses less digits than its factorization.

12562264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

It can be divided in two parts, 1256 and 2264000, that added together give a triangular number (2265256 = T₂₁₂₈).

The spelling of 12562264000 in words is "twelve billion, five hundred sixty-two million, two hundred sixty-four thousand".