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12122122011210 = 2325314344846599
BaseRepresentation
bin1011000001100110011011…
…0001101100001001001010
31120220212022112012001102200
42300121212301230021022
53042102101213324320
641440454224341030
72360536324665351
oct260314661541112
946825275161380
1012122122011210
113953a659413a2
121439422174776
1369c15a400793
142dc9dcaa0998
151604ce33a290
hexb0666c6c24a

12122122011210 has 48 divisors (see below), whose sum is σ = 32534211340800. Its totient is φ = 3128289550560.

The previous prime is 12122122011133. The next prime is 12122122011283. The reversal of 12122122011210 is 1211022122121.

12122122011210 is a `hidden beast` number, since 1 + 2 + 1 + 221 + 220 + 11 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2172420510 + ... + 2172426089.

It is an arithmetic number, because the mean of its divisors is an integer number (677796069600).

Almost surely, 212122122011210 is an apocalyptic number.

12122122011210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12122122011210 is an abundant number, since it is smaller than the sum of its proper divisors (20412089329590).

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

12122122011210 is a wasteful number, since it uses less digits than its factorization.

12122122011210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344846643 (or 4344846640 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122122011210 its reverse (1211022122121), we get a palindrome (13333144133331).

The spelling of 12122122011210 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-two million, eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 4344846599 8689693198 13034539797 21724232995 26069079594 39103619391 43448465990 65172698985 78207238782 130345397970 134690244569 195518096955 269380489138 391036193910 404070733707 673451222845 808141467414 1212212201121 1346902445690 2020353668535 2424424402242 4040707337070 6061061005605 12122122011210