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12420111102421 = 112320293204769
BaseRepresentation
bin1011010010111100100001…
…0011110111000111010101
31121222100110220020022220111
42310233020103313013111
53111442341420234141
642225415325003021
72421215634323131
oct264571023670725
947870426208814
1012420111102421
113a59380a20100
1214871260b3471
136c1299735919
1430d1cab083c1
151681201ce381
hexb4bc84f71d5

12420111102421 has 12 divisors (see below), whose sum is σ = 13652288152300. Its totient is φ = 11290654045440.

The previous prime is 12420111102383. The next prime is 12420111102449.

12420111102421 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 3048620760900 + 9371490341521 = 1746030^2 + 3061289^2 .

It is not a de Polignac number, because 12420111102421 - 27 = 12420111102293 is a prime.

It is a super-2 number, since 2×124201111024212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12420111102392 and 12420111102401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420111102491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2273125 + ... + 5477893.

Almost surely, 212420111102421 is an apocalyptic number.

12420111102421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12420111102421 is a deficient number, since it is larger than the sum of its proper divisors (1232177049879).

12420111102421 is a wasteful number, since it uses less digits than its factorization.

12420111102421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236820 (or 3236809 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 1242011 and 1102421, that added together give a palindrome (2344432).

The spelling of 12420111102421 in words is "twelve trillion, four hundred twenty billion, one hundred eleven million, one hundred two thousand, four hundred twenty-one".

Divisors: 1 11 121 32029 352319 3204769 3875509 35252459 387777049 102645546301 1129101009311 12420111102421