12420280600 has 192 divisors, whose sum is σ = 37087626240. Its totient is φ = 3759782400.

The previous prime is 12420280571. The next prime is 12420280619. The reversal of 12420280600 is 608202421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403765 + ... + 433435.

It is an arithmetic number, because the mean of its divisors is an integer number (193164720).

Almost surely, 2^12420280600 is an apocalyptic number.

12420280600 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 12420280600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18543813120).

12420280600 is an abundant number, since it is smaller than the sum of its proper divisors (24667345640).

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

12420280600 is a wasteful number, since it uses less digits than its factorization.

12420280600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29730 (or 29721 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The spelling of 12420280600 in words is "twelve billion, four hundred twenty million, two hundred eighty thousand, six hundred".