Search a number
-
+
12112001001012 = 223114310273207719
BaseRepresentation
bin1011000001000000101110…
…0001000110011000110100
31120212220012011201110112010
42300100023201012120310
53041420334224013022
641432102040124220
72360030450554113
oct260201341063064
946786164643463
1012112001001012
11394a741895660
121437478766670
1369b206624653
142dc31c83bc7a
151600daa2750c
hexb040b846634

12112001001012 has 96 divisors (see below), whose sum is σ = 31550760299520. Its totient is φ = 3584581217280.

The previous prime is 12112001000971. The next prime is 12112001001017. The reversal of 12112001001012 is 21010010021121.

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 (12112001001017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58205689 + ... + 58413407.

It is an arithmetic number, because the mean of its divisors is an integer number (328653753120).

Almost surely, 212112001001012 is an apocalyptic number.

12112001001012 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 12112001001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15775380149760).

12112001001012 is an abundant number, since it is smaller than the sum of its proper divisors (19438759298508).

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

12112001001012 is a wasteful number, since it uses less digits than its factorization.

12112001001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218053 (or 218051 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12112001001012 its reverse (21010010021121), we get a palindrome (33122011022133).

The spelling of 12112001001012 in words is "twelve trillion, one hundred twelve billion, one million, one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1892 2838 5676 10273 20546 30819 41092 61638 113003 123276 207719 226006 339009 415438 441739 452012 623157 678018 830876 883478 1246314 1325217 1356036 1766956 2284909 2492628 2650434 4569818 4859129 5300868 6854727 8931917 9139636 9718258 13709454 14577387 17863834 19436516 26795751 27418908 29154774 35727668 53591502 58309548 98251087 107183004 196502174 294753261 393004348 589506522 1179013044 2133897287 4267794574 6401691861 8535589148 12803383722 23472870157 25606767444 46945740314 70418610471 91757583341 93891480628 140837220942 183515166682 275272750023 281674441884 367030333364 550545500046 1009333416751 1101091000092 2018666833502 3028000250253 4037333667004 6056000500506 12112001001012