Search a number
-
+
12221100012 = 223111716073389
BaseRepresentation
bin10110110000110111…
…10010111111101100
31011112201011012112210
423120123302333230
5200012100200022
65340404330420
7611564431122
oct133033627754
934481135483
1012221100012
115201546360
1224509a3a10
1311c9bc8b34
1483d133912
154b7d96a0c
hex2d86f2fec

12221100012 has 96 divisors (see below), whose sum is σ = 32968373760. Its totient is φ = 3482321920.

The previous prime is 12221100011. The next prime is 12221100019. The reversal of 12221100012 is 21000112221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12221100011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3604414 + ... + 3607802.

It is an arithmetic number, because the mean of its divisors is an integer number (343420560).

Almost surely, 212221100012 is an apocalyptic number.

12221100012 is a gapful number since it is divisible by the number (12) 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 12221100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16484186880).

12221100012 is an abundant number, since it is smaller than the sum of its proper divisors (20747273748).

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

12221100012 is a wasteful number, since it uses less digits than its factorization.

12221100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12221100012 its reverse (21000112221), we get a palindrome (33221212233).

The spelling of 12221100012 in words is "twelve billion, two hundred twenty-one million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 1607 2244 3214 3389 4821 6428 6778 9642 10167 13556 17677 19284 20334 27319 35354 37279 40668 53031 54638 57613 70708 74558 81957 106062 109276 111837 115226 149116 163914 172839 212124 223674 230452 300509 327828 345678 447348 601018 633743 691356 901527 1202036 1267486 1803054 1901229 2534972 3606108 3802458 5446123 7604916 10892246 16338369 21784492 32676738 59907353 65353476 92584091 119814706 179722059 185168182 239629412 277752273 359444118 370336364 555504546 718888236 1018425001 1111009092 2036850002 3055275003 4073700004 6110550006 12221100012