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12272208399 = 3311473732357
BaseRepresentation
bin10110110110111101…
…10000101000001111
31011200021022210002000
423123132300220033
5200113141132044
65345432003343
7613055023143
oct133336605017
934607283060
1012272208399
1152283838a0
122465b30553
131207681899
14845c39223
154bc5ded69
hex2db7b0a0f

12272208399 has 64 divisors (see below), whose sum is σ = 20318791680. Its totient is φ = 7256856960.

The previous prime is 12272208397. The next prime is 12272208407. The reversal of 12272208399 is 99380227221.

It is a happy number.

12272208399 is a `hidden beast` number, since 12 + 27 + 220 + 8 + 399 = 666.

It is a Cunningham number, because it is equal to 1107802-1.

It is not a de Polignac number, because 12272208399 - 21 = 12272208397 is a prime.

It is a super-2 number, since 2×122722083992 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12272208397) 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 63 ways as a sum of consecutive naturals, for example, 5205529 + ... + 5207885.

It is an arithmetic number, because the mean of its divisors is an integer number (317481120).

Almost surely, 212272208399 is an apocalyptic number.

12272208399 is a deficient number, since it is larger than the sum of its proper divisors (8046583281).

12272208399 is a wasteful number, since it uses less digits than its factorization.

12272208399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12272208399 in words is "twelve billion, two hundred seventy-two million, two hundred eight thousand, three hundred ninety-nine".

Divisors: 1 3 9 11 27 33 47 99 141 297 373 423 517 1119 1269 1551 2357 3357 4103 4653 7071 10071 12309 13959 17531 21213 25927 36927 52593 63639 77781 110779 110781 157779 192841 233343 332337 473337 578523 700029 879161 997011 1218569 1735569 2637483 2991033 3655707 5206707 7912449 9670771 10967121 23737347 29012313 32901363 41320567 87036939 123961701 261110817 371885103 454526237 1115655309 1363578711 4090736133 12272208399