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12123020013 = 313615095847
BaseRepresentation
bin10110100101001011…
…01001101011101101
31011021212121020002020
423102211221223231
5144311443120023
65322542220353
7606263653446
oct132245515355
934255536066
1012123020013
115161146405
122423b846b9
1311b27a8230
148300c22cd
154ae470de3
hex2d2969aed

12123020013 has 16 divisors (see below), whose sum is σ = 17692784256. Its totient is φ = 7338018240.

The previous prime is 12123019963. The next prime is 12123020027. The reversal of 12123020013 is 31002032121.

It is not a de Polignac number, because 12123020013 - 26 = 12123019949 is a prime.

It is a super-2 number, since 2×121230200132 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12123019974 and 12123020001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123020033) 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 15 ways as a sum of consecutive naturals, for example, 2545545 + ... + 2550302.

It is an arithmetic number, because the mean of its divisors is an integer number (1105799016).

Almost surely, 212123020013 is an apocalyptic number.

12123020013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12123020013 is a deficient number, since it is larger than the sum of its proper divisors (5569764243).

12123020013 is a wasteful number, since it uses less digits than its factorization.

12123020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5095924.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12123020013 its reverse (31002032121), we get a palindrome (43125052134).

The spelling of 12123020013 in words is "twelve billion, one hundred twenty-three million, twenty thousand, thirteen".

Divisors: 1 3 13 39 61 183 793 2379 5095847 15287541 66246011 198738033 310846667 932540001 4041006671 12123020013