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122102112220 = 225111577694597
BaseRepresentation
bin111000110110111011…
…0100101111111011100
3102200011111122222100121
41301231312211333130
54000031120042340
6132032024004324
711551542554314
oct1615566457734
9380144588317
10122102112220
1147868506150
121b7b79006a4
13b68b86475a
145ca45c2444
1532997d894a
hex1c6dda5fdc

122102112220 has 96 divisors (see below), whose sum is σ = 281933910720. Its totient is φ = 44051005440.

The previous prime is 122102112211. The next prime is 122102112233. The reversal of 122102112220 is 22211201221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122102112194 and 122102112203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26558962 + ... + 26563558.

It is an arithmetic number, because the mean of its divisors is an integer number (2936811570).

Almost surely, 2122102112220 is an apocalyptic number.

122102112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122102112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140966955360).

122102112220 is an abundant number, since it is smaller than the sum of its proper divisors (159831798500).

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

122102112220 is a wasteful number, since it uses less digits than its factorization.

122102112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122102112220 its reverse (22211201221), we get a palindrome (144313313441).

The spelling of 122102112220 in words is "one hundred twenty-two billion, one hundred two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 314 628 769 785 1538 1570 1727 3076 3140 3454 3845 4597 6908 7690 8459 8635 9194 15380 16918 17270 18388 22985 33836 34540 42295 45970 50567 84590 91940 101134 120733 169180 202268 241466 252835 482932 505670 603665 721729 1011340 1207330 1328063 1443458 2414660 2656126 2886916 3535093 3608645 5312252 6640315 7070186 7217290 7939019 13280630 14140372 14434580 15878038 17675465 26561260 31756076 35350930 38886023 39695095 70701860 77772046 79390190 155544092 158780380 194430115 388860230 555009601 777720460 1110019202 2220038404 2775048005 5550096010 6105105611 11100192020 12210211222 24420422444 30525528055 61051056110 122102112220