Search a number
-
+
12220221321220 = 2251155546460551
BaseRepresentation
bin1011000111010011110111…
…1100110111000000000100
31121021020112020100100011211
42301310331330313000010
53100204003124234340
641553520413141204
72400611322241543
oct261647574670004
947236466310154
1012220221321220
11399162639aa20
12145443b48a804
136a84921c7593
1430366751815a
15162d2177c5ea
hexb1d3df37004

12220221321220 has 24 divisors (see below), whose sum is σ = 27995416118208. Its totient is φ = 4443716844000.

The previous prime is 12220221321197. The next prime is 12220221321229. The reversal of 12220221321220 is 2212312202221.

It is a happy number.

12220221321220 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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 12220221321191 and 12220221321200.

It is not an unprimeable number, because it can be changed into a prime (12220221321229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27773230056 + ... + 27773230495.

It is an arithmetic number, because the mean of its divisors is an integer number (1166475671592).

Almost surely, 212220221321220 is an apocalyptic number.

12220221321220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220221321220 is an abundant number, since it is smaller than the sum of its proper divisors (15775194796988).

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

12220221321220 is a wasteful number, since it uses less digits than its factorization.

12220221321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55546460571 (or 55546460569 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12220221321220 its reverse (2212312202221), we get a palindrome (14432533523441).

The spelling of 12220221321220 in words is "twelve trillion, two hundred twenty billion, two hundred twenty-one million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 55546460551 111092921102 222185842204 277732302755 555464605510 611011066061 1110929211020 1222022132122 2444044264244 3055055330305 6110110660610 12220221321220