12622780500 has 288 divisors, whose sum is σ = 42790011264. Its totient is φ = 2879360000.

The previous prime is 12622780481. The next prime is 12622780507. The reversal of 12622780500 is 508722621.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12622780507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3083455 + ... + 3087545.

It is an arithmetic number, because the mean of its divisors is an integer number (148576428).

Almost surely, 2^12622780500 is an apocalyptic number.

12622780500 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 12622780500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21395005632).

12622780500 is an abundant number, since it is smaller than the sum of its proper divisors (30167230764).

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

12622780500 is a wasteful number, since it uses less digits than its factorization.

12622780500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 12622780500 in words is "twelve billion, six hundred twenty-two million, seven hundred eighty thousand, five hundred".