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12214332459 = 3272235322721
BaseRepresentation
bin10110110000000011…
…11110110000101011
31011112020102101012200
423120001332300223
5200003332114314
65340003311243
7611453053500
oct133001766053
934466371180
1012214332459
1151a874383a
12244a67b523
1311c8699674
1483c2914a7
154b74ab709
hex2d807ec2b

12214332459 has 72 divisors (see below), whose sum is σ = 21820754592. Its totient is φ = 6549903360.

The previous prime is 12214332443. The next prime is 12214332461. The reversal of 12214332459 is 95423341221.

12214332459 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12214332459 - 24 = 12214332443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12214332439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 526219 + ... + 548939.

It is an arithmetic number, because the mean of its divisors is an integer number (303066036).

Almost surely, 212214332459 is an apocalyptic number.

12214332459 is a deficient number, since it is larger than the sum of its proper divisors (9606422133).

12214332459 is a wasteful number, since it uses less digits than its factorization.

12214332459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22817 (or 22807 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 12214332459 in words is "twelve billion, two hundred fourteen million, three hundred thirty-two thousand, four hundred fifty-nine".

Divisors: 1 3 7 9 21 23 49 53 63 69 147 159 161 207 371 441 477 483 1113 1127 1219 1449 2597 3339 3381 3657 7791 8533 10143 10971 22721 23373 25599 59731 68163 76797 159047 179193 204489 477141 522583 537579 1113329 1204213 1431423 1567749 3339987 3612639 3658081 4703247 8429491 10019961 10837917 10974243 25288473 25606567 27696899 32922729 59006437 75865419 76819701 83090697 177019311 193878293 230459103 249272091 531057933 581634879 1357148051 1744904637 4071444153 12214332459