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12121010022321 = 341014129358829
BaseRepresentation
bin1011000001100010010001…
…1111110010011110110001
31120220202110000210011110000
42300120210133302132301
53042042312031203241
641440152022500213
72360466633150264
oct260304437623661
946822400704400
1012121010022321
113953545188712
121439171894669
1369c010c12ba5
142dc935120cdb
151604668d6eb6
hexb06247f27b1

12121010022321 has 40 divisors (see below), whose sum is σ = 18290447821800. Its totient is φ = 7998706713600.

The previous prime is 12121010022263. The next prime is 12121010022343. The reversal of 12121010022321 is 12322001012121.

12121010022321 is a `hidden beast` number, since 1 + 212 + 10 + 100 + 22 + 321 = 666.

12121010022321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9084581796096 + 3036428226225 = 3014064^2 + 1742535^2 .

It is not a de Polignac number, because 12121010022321 - 27 = 12121010022193 is a prime.

It is a super-2 number, since 2×121210100223212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12121010022294 and 12121010022303.

It is not an unprimeable number, because it can be changed into a prime (12121010022391) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33599935 + ... + 33958763.

It is an arithmetic number, because the mean of its divisors is an integer number (457261195545).

Almost surely, 212121010022321 is an apocalyptic number.

It is an amenable number.

12121010022321 is a deficient number, since it is larger than the sum of its proper divisors (6169437799479).

12121010022321 is a wasteful number, since it uses less digits than its factorization.

12121010022321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363071 (or 363062 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12121010022321 its reverse (12322001012121), we get a palindrome (24443011034442).

The spelling of 12121010022321 in words is "twelve trillion, one hundred twenty-one billion, ten million, twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 27 81 101 303 909 2727 4129 8181 12387 37161 111483 334449 358829 417029 1076487 1251087 3229461 3753261 9688383 11259783 29065149 33779349 36241729 108725187 326175561 978526683 1481604941 2935580049 4444814823 13334444469 40003333407 120010000221 149642099041 448926297123 1346778891369 4040336674107 12121010022321