Search a number
-
+
12120022322331 = 371163538258717
BaseRepresentation
bin1011000001011110100110…
…1000000000110010011011
31120220122220012020210202220
42300113221220000302123
53042033301203303311
641435510020555123
72360433310635420
oct260275150006233
946818805223686
1012120022322331
1139530886a6030
121438b36b52aa3
1369bbb43c1421
142dc87dc95d47
15160409d35206
hexb05e9a00c9b

12120022322331 has 32 divisors (see below), whose sum is σ = 20150743362048. Its totient is φ = 6295123683840.

The previous prime is 12120022322297. The next prime is 12120022322389. The reversal of 12120022322331 is 13322322002121.

It is not a de Polignac number, because 12120022322331 - 225 = 12119988767899 is a prime.

It is a super-2 number, since 2×121200223223312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12120022322731) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2661816 + ... + 5596901.

It is an arithmetic number, because the mean of its divisors is an integer number (629710730064).

Almost surely, 212120022322331 is an apocalyptic number.

12120022322331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12120022322331 is a deficient number, since it is larger than the sum of its proper divisors (8030721039717).

12120022322331 is a wasteful number, since it uses less digits than its factorization.

12120022322331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265091.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12120022322331 its reverse (13322322002121), we get a palindrome (25442344324452).

The spelling of 12120022322331 in words is "twelve trillion, one hundred twenty billion, twenty-two million, three hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 231 6353 19059 44471 69883 133413 209649 489181 1467543 8258717 24776151 57811019 90845887 173433057 272537661 635921209 1907763627 52467629101 157402887303 367273403707 577143920111 1101820211121 1731431760333 4040007440777 12120022322331