Search a number
-
+
12112021212 = 2231726752127
BaseRepresentation
bin10110100011110111…
…01100011011011100
31011021002220102120020
423101323230123130
5144301134134322
65321510352140
7606101324124
oct132173543334
934232812506
1012112021212
115155a13895
12242035b650
1311b0426b75
1482c85bc84
154ad4ec05c
hex2d1eec6dc

12112021212 has 72 divisors (see below), whose sum is σ = 30470275584. Its totient is φ = 3743063808.

The previous prime is 12112021189. The next prime is 12112021231. The reversal of 12112021212 is 21212021121.

It is a junction number, because it is equal to n+sod(n) for n = 12112021191 and 12112021200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206293 + ... + 258419.

It is an arithmetic number, because the mean of its divisors is an integer number (423198272).

Almost surely, 212112021212 is an apocalyptic number.

12112021212 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 12112021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15235137792).

12112021212 is an abundant number, since it is smaller than the sum of its proper divisors (18358254372).

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

12112021212 is a wasteful number, since it uses less digits than its factorization.

12112021212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52235 (or 52216 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12112021212 its reverse (21212021121), we get a palindrome (33324042333).

Subtracting 12112021212 from its reverse (21212021121), we obtain a palindrome (9099999909).

The spelling of 12112021212 in words is "twelve billion, one hundred twelve million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 67 68 102 134 201 204 268 289 402 578 804 867 1139 1156 1734 2278 3417 3468 4556 6834 13668 19363 38726 52127 58089 77452 104254 116178 156381 208508 232356 312762 625524 886159 1772318 2658477 3492509 3544636 5316954 6985018 10477527 10633908 13970036 15064703 20955054 30129406 41910108 45194109 59372653 60258812 90388218 118745306 178117959 180776436 237490612 356235918 712471836 1009335101 2018670202 3028005303 4037340404 6056010606 12112021212