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12121113212031 = 3193167102383779
BaseRepresentation
bin1011000001100010101010…
…1001011011010001111111
31120220202201012221202010010
42300120222221123101333
53042043014440241111
641440210150314303
72360502325226025
oct260305251332177
946822635852103
1012121113212031
11395359845866a
1214391a0358993
1369c0294024a5
142dc944b02715
151604709bbaa6
hexb062aa5b47f

12121113212031 has 32 divisors (see below), whose sum is σ = 17822968422400. Its totient is φ = 7297915695840.

The previous prime is 12121113212029. The next prime is 12121113212099. The reversal of 12121113212031 is 13021231112121.

It is not a de Polignac number, because 12121113212031 - 21 = 12121113212029 is a prime.

It is a super-2 number, since 2×121211132120312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12121113211989 and 12121113212007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121113212011) 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, 51073501 + ... + 51310278.

It is an arithmetic number, because the mean of its divisors is an integer number (556967763200).

Almost surely, 212121113212031 is an apocalyptic number.

12121113212031 is a deficient number, since it is larger than the sum of its proper divisors (5701855210369).

12121113212031 is a wasteful number, since it uses less digits than its factorization.

12121113212031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102383899.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 12121113212031 its reverse (13021231112121), we get a palindrome (25142344324152).

The spelling of 12121113212031 in words is "twelve trillion, one hundred twenty-one billion, one hundred thirteen million, two hundred twelve thousand, thirty-one".

Divisors: 1 3 19 31 57 67 93 201 589 1273 1767 2077 3819 6231 39463 118389 102383779 307151337 1945291801 3173897149 5835875403 6859713193 9521691447 20579139579 60304045831 130334550667 180912137493 212651108983 391003652001 637953326949 4040371070677 12121113212031