Search a number
-
+
122340123234 = 23272294239971
BaseRepresentation
bin111000111110000001…
…0100010001001100010
3102200210002112012002100
41301330002202021202
54001023032420414
6132111405231230
711560462614060
oct1617402421142
9380702465070
10122340123234
114797a8a036a
121b863562516
13b6c8c6a184
145cc805b030
1532b0650609
hex1c7c0a2262

122340123234 has 48 divisors (see below), whose sum is σ = 304260390720. Its totient is φ = 34801673760.

The previous prime is 122340123203. The next prime is 122340123253. The reversal of 122340123234 is 432321043221.

122340123234 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 401 + 23 + 234 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122340123198 and 122340123207.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2091132 + ... + 2148839.

It is an arithmetic number, because the mean of its divisors is an integer number (6338758140).

Almost surely, 2122340123234 is an apocalyptic number.

122340123234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

122340123234 is an abundant number, since it is smaller than the sum of its proper divisors (181920267486).

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

122340123234 is a wasteful number, since it uses less digits than its factorization.

122340123234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240215 (or 4240212 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 122340123234 its reverse (432321043221), we get a palindrome (554661166455).

The spelling of 122340123234 in words is "one hundred twenty-two billion, three hundred forty million, one hundred twenty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 229 458 687 1374 1603 2061 3206 4122 4809 9618 14427 28854 4239971 8479942 12719913 25439826 29679797 38159739 59359594 76319478 89039391 178078782 267118173 534236346 970953359 1941906718 2912860077 5825720154 6796673513 8738580231 13593347026 17477160462 20390020539 40780041078 61170061617 122340123234