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12221033220 = 22335118923117
BaseRepresentation
bin10110110000110111…
…00010101100000100
31011112201000210221000
423120123202230010
5200012041030340
65340403053300
7611564032314
oct133033425404
934481023830
1012221033220
115201500160
122450971230
1311c9ba4606
1483d117444
154b7d81d30
hex2d86e2b04

12221033220 has 192 divisors, whose sum is σ = 41945299200. Its totient is φ = 2929259520.

The previous prime is 12221033207. The next prime is 12221033243. The reversal of 12221033220 is 2233012221.

12221033220 is a `hidden beast` number, since 122 + 210 + 332 + 2 + 0 = 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 = 12221033193 and 12221033202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 517102 + ... + 540218.

It is an arithmetic number, because the mean of its divisors is an integer number (218465100).

Almost surely, 212221033220 is an apocalyptic number.

12221033220 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 12221033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20972649600).

12221033220 is an abundant number, since it is smaller than the sum of its proper divisors (29724265980).

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

12221033220 is a wasteful number, since it uses less digits than its factorization.

12221033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23235 (or 23227 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12221033220 its reverse (2233012221), we get a palindrome (14454045441).

The spelling of 12221033220 in words is "twelve billion, two hundred twenty-one million, thirty-three thousand, two hundred twenty".