Search a number
-
+
123220122120 = 23325342278117
BaseRepresentation
bin111001011000001111…
…1011101101000001000
3102210001102101202121200
41302300133131220020
54004323322401440
6132335002504200
711621336520354
oct1626037355010
9383042352550
10123220122120
1148291601577
121ba6a205060
13b80937ca84
145d6cc8c464
153312a2ac30
hex1cb07dda08

123220122120 has 48 divisors (see below), whose sum is σ = 400465398060. Its totient is φ = 32858699136.

The previous prime is 123220122107. The next prime is 123220122203. The reversal of 123220122120 is 21221022321.

It can be written as a sum of positive squares in 2 ways, for example, as 122826417156 + 393704964 = 350466^2 + 19842^2 .

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 = 123220122093 and 123220122102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171138699 + ... + 171139418.

Almost surely, 2123220122120 is an apocalyptic number.

123220122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123220122120 is an abundant number, since it is smaller than the sum of its proper divisors (277245275940).

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

123220122120 is a wasteful number, since it uses less digits than its factorization.

123220122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342278134 (or 342278127 counting only the distinct ones).

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

Adding to 123220122120 its reverse (21221022321), we get a palindrome (144441144441).

The spelling of 123220122120 in words is "one hundred twenty-three billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 342278117 684556234 1026834351 1369112468 1711390585 2053668702 2738224936 3080503053 3422781170 4107337404 5134171755 6161006106 6845562340 8214674808 10268343510 12322012212 13691124680 15402515265 20536687020 24644024424 30805030530 41073374040 61610061060 123220122120