Search a number
-
+
12120111312 = 2433722972971
BaseRepresentation
bin10110100100110101…
…00011100011010000
31011021200010110002120
423102122203203100
5144310222030222
65322400014240
7606230150331
oct132232434320
934250113076
1012120111312
11515a53a021
122423001380
1311b1cca2ca
1482d966288
154ae09915c
hex2d26a38d0

12120111312 has 80 divisors (see below), whose sum is σ = 32181339072. Its totient is φ = 3927813120.

The previous prime is 12120111287. The next prime is 12120111319. The reversal of 12120111312 is 21311102121.

It is a super-2 number, since 2×121201113122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12120111291 and 12120111300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120111319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4077987 + ... + 4080957.

Almost surely, 212120111312 is an apocalyptic number.

12120111312 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 12120111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16090669536).

12120111312 is an abundant number, since it is smaller than the sum of its proper divisors (20061227760).

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

12120111312 is a wasteful number, since it uses less digits than its factorization.

12120111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12120111312 its reverse (21311102121), we get a palindrome (33431213433).

The spelling of 12120111312 in words is "twelve billion, one hundred twenty million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 2297 2971 4594 5942 6891 8913 9188 11884 13782 17826 18376 23768 27564 35652 36752 47536 55128 71304 84989 109927 110256 142608 169978 219854 254967 329781 339956 439708 509934 659562 679912 879416 1019868 1319124 1359824 1758832 2039736 2638248 4079472 5276496 6824387 13648774 20473161 27297548 40946322 54595096 81892644 109190192 163785288 252502319 327570576 505004638 757506957 1010009276 1515013914 2020018552 3030027828 4040037104 6060055656 12120111312