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12321322322220 = 22325606891127911
BaseRepresentation
bin1011001101001100100000…
…0010100100100100101100
31121121220111010201022212100
42303103020002210210230
53103333032003302340
642112200510335100
72411120565462522
oct263231002444454
947556433638770
1012321322322220
113a204972643aa
12146bb55aba490
136b4b84b484b2
143084d8898312
1516578c499830
hexb34c80a492c

12321322322220 has 72 divisors (see below), whose sum is σ = 37375326686880. Its totient is φ = 3285628899840.

The previous prime is 12321322322201. The next prime is 12321322322233. The reversal of 12321322322220 is 2222322312321.

12321322322220 is a `hidden beast` number, since 1 + 2 + 3 + 213 + 223 + 2 + 2 + 220 = 666.

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 23 ways as a sum of consecutive naturals, for example, 10360065 + ... + 11487975.

It is an arithmetic number, because the mean of its divisors is an integer number (519101759540).

Almost surely, 212321322322220 is an apocalyptic number.

12321322322220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12321322322220 is an abundant number, since it is smaller than the sum of its proper divisors (25054004364660).

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

12321322322220 is a wasteful number, since it uses less digits than its factorization.

12321322322220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188615 (or 1188610 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12321322322220 its reverse (2222322312321), we get a palindrome (14543644634541).

The spelling of 12321322322220 in words is "twelve trillion, three hundred twenty-one billion, three hundred twenty-two million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 60689 121378 182067 242756 303445 364134 546201 606890 728268 910335 1092402 1127911 1213780 1820670 2184804 2255822 2731005 3383733 3641340 4511644 5462010 5639555 6767466 10151199 10924020 11279110 13534932 16918665 20302398 22558220 33837330 40604796 50755995 67674660 101511990 203023980 68451790679 136903581358 205355372037 273807162716 342258953395 410710744074 616066116111 684517906790 821421488148 1026776860185 1232132232222 1369035813580 2053553720370 2464264464444 3080330580555 4107107440740 6160661161110 12321322322220