12420611280 has 1200 divisors, whose sum is σ = 56705037312. Its totient is φ = 2463436800.

The previous prime is 12420611227. The next prime is 12420611309. The reversal of 12420611280 is 8211602421.

12420611280 is a `hidden beast` number, since 1 + 2 + 4 + 20 + 611 + 28 + 0 = 666.

12420611280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 170145324 + ... + 170145396.

Almost surely, 2^12420611280 is an apocalyptic number.

12420611280 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 12420611280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28352518656).

12420611280 is an abundant number, since it is smaller than the sum of its proper divisors (44284426032).

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

12420611280 is a wasteful number, since it uses less digits than its factorization.

12420611280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12420611280 in words is "twelve billion, four hundred twenty million, six hundred eleven thousand, two hundred eighty".