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12000122102221 = 11237310113746957
BaseRepresentation
bin1010111010011111111100…
…0000111110000111001101
31120111012102010211112112221
42232213333000332013031
53033102222224232341
641304440251055341
72345660132610451
oct256477700760715
946435363745487
1012000122102221
1139072500a2030
121419854741551
136907b6aa1616
142d6b47cc4661
1515c23d9dded1
hexae9ff03e1cd

12000122102221 has 64 divisors (see below), whose sum is σ = 14086822980096. Its totient is φ = 10115449344000.

The previous prime is 12000122102179. The next prime is 12000122102261. The reversal of 12000122102221 is 12220122100021.

It is a happy number.

It is not a de Polignac number, because 12000122102221 - 27 = 12000122102093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12000122102195 and 12000122102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000122102261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255532075 + ... + 255579031.

It is an arithmetic number, because the mean of its divisors is an integer number (220106609064).

Almost surely, 212000122102221 is an apocalyptic number.

12000122102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12000122102221 is a deficient number, since it is larger than the sum of its proper divisors (2086700877875).

12000122102221 is a wasteful number, since it uses less digits than its factorization.

12000122102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47302.

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

Adding to 12000122102221 its reverse (12220122100021), we get a palindrome (24220244202242).

It can be divided in two parts, 120001 and 22102221, that added together give a palindrome (22222222).

The spelling of 12000122102221 in words is "twelve trillion, one hundred twenty-two million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 11 23 73 101 137 253 803 1111 1507 1679 2323 3151 7373 10001 13837 18469 25553 34661 46957 81103 110011 152207 169579 230023 318251 516527 1010101 1080011 1865369 2530253 3427861 3500761 4742657 6433109 11111111 11880121 23232323 37706471 52169227 70764199 78840803 109081111 147961507 255555553 346213961 469616957 649744009 867248833 1199892221 1627576577 3808353571 5165786527 7147184099 7962921103 10801190011 14944112207 47431312657 87592132133 118813090121 164385234277 521744439227 1090920191111 12000122102221