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122200120112022 = 23271919104045971
BaseRepresentation
bin11011110010001111101110…
…110000000011001110010110
3121000200012212110220220010100
4123302033232300003032112
5112004111321222041042
61111521543222234530
734511444615445111
oct3362175660031626
9530605773826110
10122200120112022
1135a33864064127
1211857250b85a46
135325563b460c4
142226735949578
15e1da8b3d124c
hex6f23eec03396

122200120112022 has 48 divisors (see below), whose sum is σ = 268788202225920. Its totient is φ = 40115964193200.

The previous prime is 122200120111943. The next prime is 122200120112131. The reversal of 122200120112022 is 220211021002221.

It is a happy number.

122200120112022 is a `hidden beast` number, since 122 + 200 + 1 + 201 + 120 + 22 = 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 = 122200120111986 and 122200120112004.

It is a congruent number.

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, 50848504 + ... + 53197467.

It is an arithmetic number, because the mean of its divisors is an integer number (5599754213040).

Almost surely, 2122200120112022 is an apocalyptic number.

122200120112022 is an abundant number, since it is smaller than the sum of its proper divisors (146588082113898).

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

122200120112022 is a wasteful number, since it uses less digits than its factorization.

122200120112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104046969 (or 104046966 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122200120112022 its reverse (220211021002221), we get a palindrome (342411141114243).

The spelling of 122200120112022 in words is "one hundred twenty-two trillion, two hundred billion, one hundred twenty million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 919 1278 1838 2757 5514 8271 16542 65249 130498 195747 391494 587241 1174482 104045971 208091942 312137913 624275826 936413739 1872827478 7387263941 14774527882 22161791823 44323583646 66485375469 95618247349 132970750938 191236494698 286854742047 573709484094 860564226141 1721128452282 6788895561779 13577791123558 20366686685337 40733373370674 61100060056011 122200120112022