12122628480 has 288 divisors, whose sum is σ = 43483836240. Its totient is φ = 3231581184.

The previous prime is 12122628457. The next prime is 12122628487. The reversal of 12122628480 is 8482622121.

12122628480 is a `hidden beast` number, since 1 + 2 + 1 + 22 + 628 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12122628480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122628487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4197597 + ... + 4200483.

Almost surely, 2^12122628480 is an apocalyptic number.

12122628480 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 12122628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21741918120).

12122628480 is an abundant number, since it is smaller than the sum of its proper divisors (31361207760).

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

12122628480 is an frugal number, since it uses more digits than its factorization.

12122628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 12122628480 in words is "twelve billion, one hundred twenty-two million, six hundred twenty-eight thousand, four hundred eighty".