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12202012210220 = 22571133559216719
BaseRepresentation
bin1011000110010000000010…
…0110100111010000101100
31121012111112012200122210022
42301210000212213100230
53044404210111211340
641541305500501312
72366365144324430
oct261440046472054
947174465618708
1012202012210220
113984931872358
1214509b924a838
136a684c86c9a1
1430281b0169c0
15162607d6a3b5
hexb19009a742c

12202012210220 has 96 divisors (see below), whose sum is σ = 29552424652800. Its totient is φ = 4145340294144.

The previous prime is 12202012210211. The next prime is 12202012210247. The reversal of 12202012210220 is 2201221020221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56195021 + ... + 56411739.

It is an arithmetic number, because the mean of its divisors is an integer number (307837756800).

Almost surely, 212202012210220 is an apocalyptic number.

12202012210220 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 12202012210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14776212326400).

12202012210220 is an abundant number, since it is smaller than the sum of its proper divisors (17350412442580).

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

12202012210220 is a wasteful number, since it uses less digits than its factorization.

12202012210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220407 (or 220405 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12202012210220 its reverse (2201221020221), we get a palindrome (14403233230441).

The spelling of 12202012210220 in words is "twelve trillion, two hundred two billion, twelve million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 113 140 226 452 565 791 1130 1582 2260 3164 3559 3955 7118 7910 14236 15820 17795 24913 35590 49826 71180 99652 124565 216719 249130 402167 433438 498260 804334 866876 1083595 1517033 1608668 2010835 2167190 2815169 3034066 4021670 4334380 5630338 6068132 7585165 8043340 11260676 14075845 15170330 24489247 28151690 30340660 48978494 56303380 97956988 122446235 171424729 244892470 342849458 489784940 685698916 771302921 857123645 1542605842 1714247290 3085211684 3428494580 3856514605 5399120447 7713029210 10798240894 15426058420 21596481788 26995602235 53991204470 87157230073 107982408940 174314460146 348628920292 435786150365 610100610511 871572300730 1220201221022 1743144601460 2440402442044 3050503052555 6101006105110 12202012210220