Search a number
-
+
12112441240 = 23523432231373
BaseRepresentation
bin10110100011111010…
…10010111110011000
31011021010200202201211
423101331102332120
5144301241104430
65321523352504
7606105023524
oct132175227630
934233622654
1012112441240
115156180419
122420522734
1311b05430c3
1482c92ad84
154ad58172a
hex2d1f52f98

12112441240 has 128 divisors (see below), whose sum is σ = 29251031040. Its totient is φ = 4502969856.

The previous prime is 12112441207. The next prime is 12112441247. The reversal of 12112441240 is 4214421121.

It is a super-2 number, since 2×121124412402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112441247) 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 31 ways as a sum of consecutive naturals, for example, 8821194 + ... + 8822566.

It is an arithmetic number, because the mean of its divisors is an integer number (228523680).

Almost surely, 212112441240 is an apocalyptic number.

12112441240 is a gapful number since it is divisible by the number (10) 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 12112441240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14625515520).

12112441240 is an abundant number, since it is smaller than the sum of its proper divisors (17138589800).

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

12112441240 is a wasteful number, since it uses less digits than its factorization.

12112441240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 12112441240 its reverse (4214421121), we get a palindrome (16326862361).

The spelling of 12112441240 in words is "twelve billion, one hundred twelve million, four hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 43 46 86 92 115 172 184 215 223 230 344 430 446 460 860 892 920 989 1115 1373 1720 1784 1978 2230 2746 3956 4460 4945 5129 5492 6865 7912 8920 9589 9890 10258 10984 13730 19178 19780 20516 25645 27460 31579 38356 39560 41032 47945 51290 54920 59039 63158 76712 95890 102580 118078 126316 157895 191780 205160 220547 236156 252632 295195 306179 315790 383560 441094 472312 590390 612358 631580 882188 1102735 1180780 1224716 1263160 1357897 1530895 1764376 2205470 2361560 2449432 2715794 3061790 4410940 5431588 6123580 6789485 7042117 8821880 10863176 12247160 13165697 13578970 14084234 26331394 27157940 28168468 35210585 52662788 54315880 56336936 65828485 70421170 105325576 131656970 140842340 263313940 281684680 302811031 526627880 605622062 1211244124 1514055155 2422488248 3028110310 6056220620 12112441240