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123132010122 = 232115311733563
BaseRepresentation
bin111001010101100111…
…1010101111010001010
3102202211021121012200100
41302223033111322022
54004133243310442
6132322134150230
711616216550152
oct1625317257212
9382737535610
10123132010122
114824689a740
121ba447b2376
13b7c403c2b4
145d612b3762
153309e2384c
hex1cab3d5e8a

123132010122 has 48 divisors (see below), whose sum is σ = 296530629408. Its totient is φ = 36608713440.

The previous prime is 123132010093. The next prime is 123132010139. The reversal of 123132010122 is 221010231321.

123132010122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1231320101222 (a number of 23 digits) contains 22 as substring.

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 = 123132010095 and 123132010104.

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, 5856288 + ... + 5877275.

It is an arithmetic number, because the mean of its divisors is an integer number (6177721446).

Almost surely, 2123132010122 is an apocalyptic number.

123132010122 is an abundant number, since it is smaller than the sum of its proper divisors (173398619286).

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

123132010122 is a wasteful number, since it uses less digits than its factorization.

123132010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11733635 (or 11733632 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123132010122 its reverse (221010231321), we get a palindrome (344142241443).

The spelling of 123132010122 in words is "one hundred twenty-three billion, one hundred thirty-two million, ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 954 1166 1749 3498 5247 10494 11733563 23467126 35200689 70401378 105602067 129069193 211204134 258138386 387207579 621878839 774415158 1161622737 1243757678 1865636517 2323245474 3731273034 5596909551 6840667229 11193819102 13681334458 20522001687 41044003374 61566005061 123132010122