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122322010122 = 232132092924977
BaseRepresentation
bin111000111101011110…
…1011100000000001010
3102200201211102221120100
41301322331130000022
54001003413310442
6132105521110230
711560152634134
oct1617275340012
9380654387510
10122322010122
1147970649754
121b859488376
13b6c5297860
145cc58a4054
1532adc7384c
hex1c7af5c00a

122322010122 has 48 divisors (see below), whose sum is σ = 285443088840. Its totient is φ = 37634236416.

The previous prime is 122322010099. The next prime is 122322010159. The reversal of 122322010122 is 221010223221.

122322010122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48637450521 + 73684559601 = 220539^2 + 271449^2 .

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 = 122322010095 and 122322010104.

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, 4884898 + ... + 4909874.

Almost surely, 2122322010122 is an apocalyptic number.

122322010122 is an abundant number, since it is smaller than the sum of its proper divisors (163121078718).

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

122322010122 is a wasteful number, since it uses less digits than its factorization.

122322010122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45927 (or 45924 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122322010122 its reverse (221010223221), we get a palindrome (343332233343).

The spelling of 122322010122 in words is "one hundred twenty-two billion, three hundred twenty-two million, ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 20929 24977 41858 49954 62787 74931 125574 149862 188361 224793 272077 324701 376722 449586 544154 649402 816231 974103 1632462 1948206 2448693 2922309 4897386 5844618 522743633 1045487266 1568230899 3136461798 4704692697 6795667229 9409385394 13591334458 20387001687 40774003374 61161005061 122322010122