Search a number
-
+
12213330112 = 261931332089
BaseRepresentation
bin10110101111111100…
…01010000011000000
31011112011112110020201
423113332022003000
5200003103030422
65335530014544
7611441410264
oct132776120300
934464473221
1012213330112
1151a8119755
12244a277454
1311c8408369
1483c0b00a4
154b735e727
hex2d7f8a0c0

12213330112 has 56 divisors (see below), whose sum is σ = 25593700400. Its totient is φ = 5766598656.

The previous prime is 12213330109. The next prime is 12213330113. The reversal of 12213330112 is 21103331221.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 12213330112.

It is not an unprimeable number, because it can be changed into a prime (12213330113) 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, 364564 + ... + 396652.

Almost surely, 212213330112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12213330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796850200).

12213330112 is an abundant number, since it is smaller than the sum of its proper divisors (13380370288).

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

12213330112 is a wasteful number, since it uses less digits than its factorization.

12213330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32433 (or 32423 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12213330112 its reverse (21103331221), we get a palindrome (33316661333).

It can be divided in two parts, 1221 and 3330112, that added together give a palindrome (3331333).

The spelling of 12213330112 in words is "twelve billion, two hundred thirteen million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 313 608 626 1216 1252 2504 5008 5947 10016 11894 20032 23788 32089 47576 64178 95152 128356 190304 256712 380608 513424 609691 1026848 1219382 2053696 2438764 4877528 9755056 10043857 19510112 20087714 39020224 40175428 80350856 160701712 190833283 321403424 381666566 642806848 763333132 1526666264 3053332528 6106665056 12213330112