Search a number
-
+
12012111211122 = 23211298923505319
BaseRepresentation
bin1010111011001100100110…
…0111110010101001110010
31120112100100200110101010100
42232303021213302221302
53033301300432223442
641314142051213230
72346563212423641
oct256631147625162
946470320411110
1012012111211122
113911342694aa0
12142003b8a7216
136919778c1ab9
142d75642a9358
1515c6e130c84c
hexaecc99f2a72

12012111211122 has 96 divisors (see below), whose sum is σ = 29701322352000. Its totient is φ = 3475026213120.

The previous prime is 12012111211117. The next prime is 12012111211183. The reversal of 12012111211122 is 22111211121021.

It is a happy number.

12012111211122 is a `hidden beast` number, since 120 + 1 + 211 + 1 + 211 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12012111211095 and 12012111211104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11241622 + ... + 12263697.

It is an arithmetic number, because the mean of its divisors is an integer number (309388774500).

Almost surely, 212012111211122 is an apocalyptic number.

12012111211122 is an abundant number, since it is smaller than the sum of its proper divisors (17689211140878).

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

12012111211122 is a wasteful number, since it uses less digits than its factorization.

12012111211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23505456 (or 23505453 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12012111211122 its reverse (22111211121021), we get a palindrome (34123322332143).

The spelling of 12012111211122 in words is "twelve trillion, twelve billion, one hundred eleven million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 89 99 174 178 198 261 267 319 522 534 638 801 957 979 1602 1914 1958 2581 2871 2937 5162 5742 5874 7743 8811 15486 17622 23229 28391 46458 56782 85173 170346 255519 511038 23505319 47010638 70515957 141031914 211547871 258558509 423095742 517117018 681654251 775675527 1363308502 1551351054 2044962753 2091973391 2327026581 4089925506 4183946782 4654053162 6134888259 6275920173 7498196761 12269776518 12551840346 14996393522 18827760519 22494590283 23011707301 37655521038 44989180566 46023414602 60667228339 67483770849 69035121903 121334456678 134967541698 138070243806 182001685017 207105365709 364003370034 414210731418 546005055051 667339511729 1092010110102 1334679023458 2002018535187 4004037070374 6006055605561 12012111211122