12122411220 has 288 divisors, whose sum is σ = 39697257600. Its totient is φ = 2988131328.

The previous prime is 12122411159. The next prime is 12122411243. The reversal of 12122411220 is 2211422121.

12122411220 is a `hidden beast` number, since 12 + 1 + 22 + 411 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12122411193 and 12122411202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11895871 + ... + 11896889.

It is an arithmetic number, because the mean of its divisors is an integer number (137837700).

Almost surely, 2^12122411220 is an apocalyptic number.

12122411220 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 12122411220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19848628800).

12122411220 is an abundant number, since it is smaller than the sum of its proper divisors (27574846380).

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

12122411220 is a wasteful number, since it uses less digits than its factorization.

12122411220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12122411220 its reverse (2211422121), we get a palindrome (14333833341).

The spelling of 12122411220 in words is "twelve billion, one hundred twenty-two million, four hundred eleven thousand, two hundred twenty".