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12112122240024 = 23319611576727617
BaseRepresentation
bin1011000001000001001010…
…1111100101110000011000
31120212220111121212001011220
42300100102233211300120
53041421111243140044
641432122050452040
72360033452225452
oct260202257456030
946786447761156
1012112122240024
11394a7a4273294
1214374b1294020
1369b225793501
142dc33099b2d2
151600e64c5019
hexb0412be5c18

12112122240024 has 128 divisors (see below), whose sum is σ = 32399758425600. Its totient is φ = 3761802915840.

The previous prime is 12112122239999. The next prime is 12112122240037. The reversal of 12112122240024 is 42004222121121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12112122239976 and 12112122240003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438561064 + ... + 438588680.

It is an arithmetic number, because the mean of its divisors is an integer number (253123112700).

Almost surely, 212112122240024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112122240024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16199879212800).

12112122240024 is an abundant number, since it is smaller than the sum of its proper divisors (20287636185576).

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

12112122240024 is a wasteful number, since it uses less digits than its factorization.

12112122240024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43473 (or 43469 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12112122240024 its reverse (42004222121121), we get a palindrome (54116344361145).

The spelling of 12112122240024 in words is "twelve trillion, one hundred twelve billion, one hundred twenty-two million, two hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 61 76 114 122 152 183 228 244 366 456 488 732 1159 1464 2318 3477 4636 6954 9272 13908 15767 27617 27816 31534 47301 55234 63068 82851 94602 110468 126136 165702 189204 220936 299573 331404 378408 524723 599146 662808 898719 961787 1049446 1198292 1574169 1684637 1797438 1923574 2098892 2396584 2885361 3148338 3369274 3594876 3847148 4197784 5053911 5770722 6296676 6738548 7189752 7694296 10107822 11541444 12593352 13477096 18273953 20215644 23082888 32008103 36547906 40431288 54821859 64016206 73095812 96024309 109643718 128032412 146191624 192048618 219287436 256064824 384097236 435437239 438574872 768194472 870874478 1306311717 1741748956 2612623434 3483497912 5225246868 8273307541 10450493736 16546615082 24819922623 26561671579 33093230164 49639845246 53123343158 66186460328 79685014737 99279690492 106246686316 159370029474 198559380984 212493372632 318740058948 504671760001 637480117896 1009343520002 1514015280003 2018687040004 3028030560006 4037374080008 6056061120012 12112122240024