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12312322332321 = 3111947417805909
BaseRepresentation
bin1011001100101010111110…
…0110010101011010100001
31121121001020220122110201010
42303022233212111122201
53103211114004113241
642104111445331133
72410351553023104
oct263125746253241
947531226573633
1012312322332321
113a17698a7a820
12146a263a06aa9
136b407c39c99b
14307cc348673b
151654122c0d16
hexb32af9956a1

12312322332321 has 32 divisors (see below), whose sum is σ = 19252496332800. Its totient is φ = 6918865836480.

The previous prime is 12312322332311. The next prime is 12312322332337. The reversal of 12312322332321 is 12323322321321.

It is not a de Polignac number, because 12312322332321 - 233 = 12303732397729 is a prime.

It is a super-2 number, since 2×123123223323212 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12312322332311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208873486 + ... + 208932423.

It is an arithmetic number, because the mean of its divisors is an integer number (601640510400).

Almost surely, 212312322332321 is an apocalyptic number.

12312322332321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12312322332321 is a deficient number, since it is larger than the sum of its proper divisors (6940174000479).

12312322332321 is a wasteful number, since it uses less digits than its factorization.

12312322332321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417805989.

The product of its digits is 15552, while the sum is 30.

Adding to 12312322332321 its reverse (12323322321321), we get a palindrome (24635644653642).

The spelling of 12312322332321 in words is "twelve trillion, three hundred twelve billion, three hundred twenty-two million, three hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 11 19 33 47 57 141 209 517 627 893 1551 2679 9823 29469 417805909 1253417727 4595864999 7938312271 13787594997 19636877723 23814936813 58910633169 87321434981 216005654953 261964304943 373100676737 648016964859 1119302030211 4104107444107 12312322332321