Search a number
-
+
12220101012 = 2237731992841
BaseRepresentation
bin10110110000101111…
…11111000110010100
31011112122021110011210
423120113333012110
5200011321213022
65340331101420
7611553100440
oct133027770624
934478243153
1012220101012
115200a23839
1224505a1870
1311c9939202
1483cd53820
154b7c4aa0c
hex2d85ff194

12220101012 has 48 divisors (see below), whose sum is σ = 33033348992. Its totient is φ = 3443627520.

The previous prime is 12220101011. The next prime is 12220101053. The reversal of 12220101012 is 21010102221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990289 + ... + 1002552.

Almost surely, 212220101012 is an apocalyptic number.

12220101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12220101012 is an abundant number, since it is smaller than the sum of its proper divisors (20813247980).

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

12220101012 is a wasteful number, since it uses less digits than its factorization.

12220101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992928 (or 1992926 counting only the distinct ones).

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

Adding to 12220101012 its reverse (21010102221), we get a palindrome (33230203233).

The spelling of 12220101012 in words is "twelve billion, two hundred twenty million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 876 1022 1533 2044 3066 6132 1992841 3985682 5978523 7971364 11957046 13949887 23914092 27899774 41849661 55799548 83699322 145477393 167398644 290954786 436432179 581909572 872864358 1018341751 1745728716 2036683502 3055025253 4073367004 6110050506 12220101012