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12512122121521 = 1129418719109721
BaseRepresentation
bin1011011000010011010010…
…0110000010110100110001
31122022010222022012101121201
42312010310212002310301
53114444311230342041
642335553424251201
72430654023144131
oct266046446026461
948263868171551
1012512122121521
113a943a7824650
1214a0b24470b01
136c9b7108c919
14313838b2cac1
1516a707d98631
hexb6134982d31

12512122121521 has 32 divisors (see below), whose sum is σ = 14466450700800. Its totient is φ = 10713236352000.

The previous prime is 12512122121519. The next prime is 12512122121533.

12512122121521 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12512122121521 - 21 = 12512122121519 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12512122121521.

It is not an unprimeable number, because it can be changed into a prime (12512122121621) 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 31 ways as a sum of consecutive naturals, for example, 113980941 + ... + 114090661.

It is an arithmetic number, because the mean of its divisors is an integer number (452076584400).

Almost surely, 212512122121521 is an apocalyptic number.

12512122121521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12512122121521 is a deficient number, since it is larger than the sum of its proper divisors (1954328579279).

12512122121521 is a wasteful number, since it uses less digits than its factorization.

12512122121521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118521.

The product of its digits is 1600, while the sum is 28.

It can be divided in two parts, 1251212 and 2121521, that added together give a palindrome (3372733).

The spelling of 12512122121521 in words is "twelve trillion, five hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, five hundred twenty-one".

Divisors: 1 11 29 41 319 451 1189 8719 13079 95909 109721 252851 357479 1206931 2781361 3181909 3932269 4498561 10366891 35000999 49484171 114035801 130458269 956657399 1435040959 10523231389 27743064571 39222953359 305173710281 431452486949 1137465647411 12512122121521