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12213122223312 = 2432235093607697
BaseRepresentation
bin1011000110111001011011…
…0011111100110011010000
31121020120012111010210121200
42301232112303330303100
53100044433242121222
641550344134551200
72400240361015233
oct261562663746320
947216174123550
1012213122223312
11398961311065a
121452b99b08500
136a790050562a
1430319276341a
15162a583daeac
hexb1b96cfccd0

12213122223312 has 60 divisors (see below), whose sum is σ = 34181242931940. Its totient is φ = 4070866443264.

The previous prime is 12213122223283. The next prime is 12213122223361. The reversal of 12213122223312 is 21332222131221.

12213122223312 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 122 + 223 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9775102298256 + 2438019925056 = 3126516^2 + 1561416^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 1581448 + ... + 5189144.

It is an arithmetic number, because the mean of its divisors is an integer number (569687382199).

Almost surely, 212213122223312 is an apocalyptic number.

12213122223312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12213122223312 is an abundant number, since it is smaller than the sum of its proper divisors (21968120708628).

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

12213122223312 is a wasteful number, since it uses less digits than its factorization.

12213122223312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631220 (or 3631211 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 12213122223312 its reverse (21332222131221), we get a palindrome (33545344354533).

The spelling of 12213122223312 in words is "twelve trillion, two hundred thirteen billion, one hundred twenty-two million, two hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 23509 47018 70527 94036 141054 188072 211581 282108 376144 423162 564216 846324 1128432 1692648 3385296 3607697 7215394 10823091 14430788 21646182 28861576 32469273 43292364 57723152 64938546 86584728 129877092 173169456 259754184 519508368 84813348773 169626697546 254440046319 339253395092 508880092638 678506790184 763320138957 1017760185276 1357013580368 1526640277914 2035520370552 3053280555828 4071040741104 6106561111656 12213122223312