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12277116 = 22331931193
BaseRepresentation
bin101110110101…
…010101111100
3212002202001000
4232311111330
511120331431
61115050300
7206232225
oct56652574
925082030
1012277116
116a25a85
124140990
13270b187
1418b824c
1511279e6
hexbb557c

12277116 has 96 divisors (see below), whose sum is σ = 34764800. Its totient is φ = 3732480.

The previous prime is 12277061. The next prime is 12277127. The reversal of 12277116 is 61177221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12277116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63516 + ... + 63708.

Almost surely, 212277116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12277116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17382400).

12277116 is an abundant number, since it is smaller than the sum of its proper divisors (22487684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12277116 is a wasteful number, since it uses less digits than its factorization.

12277116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 12277116 is about 3503.8715729889. The cubic root of 12277116 is about 230.6917798549.

The spelling of 12277116 in words is "twelve million, two hundred seventy-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 93 108 114 124 171 186 193 228 279 342 372 386 513 558 579 589 684 772 837 1026 1116 1158 1178 1674 1737 1767 2052 2316 2356 3348 3474 3534 3667 5211 5301 5983 6948 7068 7334 10422 10602 11001 11966 14668 15903 17949 20844 21204 22002 23932 31806 33003 35898 44004 53847 63612 66006 71796 99009 107694 113677 132012 161541 198018 215388 227354 323082 341031 396036 454708 646164 682062 1023093 1364124 2046186 3069279 4092372 6138558 12277116