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12423221113032 = 2332172544737681
BaseRepresentation
bin1011010011001000000110…
…1011100111000011001000
31121222122111122021020102200
42310302001223213003020
53112020224101104112
642231052103200200
72421356000063352
oct264620153470310
947878448236380
1012423221113032
113a5a72749a104
121487853746060
136c1673b572a2
1430d403b8a0d2
15168253253cdc
hexb4c81ae70c8

12423221113032 has 24 divisors (see below), whose sum is σ = 33646223847990. Its totient is φ = 4141073704320.

The previous prime is 12423221113007. The next prime is 12423221113063. The reversal of 12423221113032 is 23031112232421.

12423221113032 is a `hidden beast` number, since 1 + 2 + 423 + 221 + 1 + 13 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8193757400676 + 4229463712356 = 2862474^2 + 2056566^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 12423221112987 and 12423221113005.

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 5 ways as a sum of consecutive naturals, for example, 86272368769 + ... + 86272368912.

Almost surely, 212423221113032 is an apocalyptic number.

12423221113032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12423221113032 is an abundant number, since it is smaller than the sum of its proper divisors (21223002734958).

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

12423221113032 is a wasteful number, since it uses less digits than its factorization.

12423221113032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172544737693 (or 172544737686 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12423221113032 its reverse (23031112232421), we get a palindrome (35454333345453).

The spelling of 12423221113032 in words is "twelve trillion, four hundred twenty-three billion, two hundred twenty-one million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 172544737681 345089475362 517634213043 690178950724 1035268426086 1380357901448 1552902639129 2070536852172 3105805278258 4141073704344 6211610556516 12423221113032