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12127411637 = 11193117910457
BaseRepresentation
bin10110100101101100…
…11001110110110101
31011022011212100020222
423102312121312311
5144314104133022
65323220304125
7606346204145
oct132266316665
934264770228
1012127411637
115163675950
122425542045
1311b3685123
14830906925
154aea3c242
hex2d2d99db5

12127411637 has 32 divisors (see below), whose sum is σ = 14457139200. Its totient is φ = 10050307200.

The previous prime is 12127411627. The next prime is 12127411691. The reversal of 12127411637 is 73611472121.

It is a cyclic number.

It is not a de Polignac number, because 12127411637 - 214 = 12127395253 is a prime.

It is a super-2 number, since 2×121274116372 (a number of 21 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 = 12127411597 and 12127411606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12127411627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1154513 + ... + 1164969.

It is an arithmetic number, because the mean of its divisors is an integer number (451785600).

Almost surely, 212127411637 is an apocalyptic number.

It is an amenable number.

12127411637 is a deficient number, since it is larger than the sum of its proper divisors (2329727563).

12127411637 is a wasteful number, since it uses less digits than its factorization.

12127411637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10697.

The product of its digits is 14112, while the sum is 35.

Adding to 12127411637 its reverse (73611472121), we get a palindrome (85738883758).

The spelling of 12127411637 in words is "twelve billion, one hundred twenty-seven million, four hundred eleven thousand, six hundred thirty-seven".

Divisors: 1 11 19 31 179 209 341 589 1969 3401 5549 6479 10457 37411 61039 105431 115027 198683 324167 1159741 1871803 2185513 3565837 6159173 20589833 35564257 58025893 67750903 391206827 638284823 1102491967 12127411637