Search a number
-
+
12212102222001 = 3211244135052823
BaseRepresentation
bin1011000110110101101000…
…0000111101000010110001
31121020110120101211100212100
42301231122000331002301
53100040341132101001
641550055020451013
72400203164111413
oct261553200750261
947213511740770
1012212102222001
11398913a376570
1214529543a9a69
136a779a0b4566
143030d70ca9b3
151629e8aa8586
hexb1b5a03d0b1

12212102222001 has 24 divisors (see below), whose sum is σ = 19244104641216. Its totient is φ = 7400969439840.

The previous prime is 12212102221999. The next prime is 12212102222003. The reversal of 12212102222001 is 10022220121221.

It is a happy number.

12212102222001 is a `hidden beast` number, since 1 + 221 + 21 + 0 + 222 + 200 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (12212102221999) and next prime (12212102222003).

It is not a de Polignac number, because 12212102222001 - 21 = 12212102221999 is a prime.

It is a super-2 number, since 2×122121022220012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12212102222003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109525 + ... + 4943298.

It is an arithmetic number, because the mean of its divisors is an integer number (801837693384).

Almost surely, 212212102222001 is an apocalyptic number.

12212102222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12212102222001 is a deficient number, since it is larger than the sum of its proper divisors (7032002419215).

12212102222001 is a wasteful number, since it uses less digits than its factorization.

12212102222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077253 (or 5077250 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12212102222001 its reverse (10022220121221), we get a palindrome (22234322343222).

The spelling of 12212102222001 in words is "twelve trillion, two hundred twelve billion, one hundred two million, two hundred twenty-two thousand, one".

Divisors: 1 3 9 11 33 99 24413 73239 219717 268543 805629 2416887 5052823 15158469 45475407 55581053 166743159 500229477 123354567899 370063703697 1110191111091 1356900246889 4070700740667 12212102222001