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12276012 = 2237592477
BaseRepresentation
bin101110110101…
…000100101100
3212002200112010
4232311010230
511120313022
61115041220
7206226060
oct56650454
925080463
1012276012
116a25171
124140210
13270a818
1418b7aa0
15112750c
hexbb512c

12276012 has 48 divisors (see below), whose sum is σ = 33304320. Its totient is φ = 3446592.

The previous prime is 12276007. The next prime is 12276049. The reversal of 12276012 is 21067221.

12276012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12276012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3718 + ... + 6194.

It is an arithmetic number, because the mean of its divisors is an integer number (693840).

Almost surely, 212276012 is an apocalyptic number.

12276012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12276012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16652160).

12276012 is an abundant number, since it is smaller than the sum of its proper divisors (21028308).

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

12276012 is a wasteful number, since it uses less digits than its factorization.

12276012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 12276012 is about 3503.7140294265. The cubic root of 12276012 is about 230.6848647847.

The spelling of 12276012 in words is "twelve million, two hundred seventy-six thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1239 1652 2477 2478 4954 4956 7431 9908 14862 17339 29724 34678 52017 69356 104034 146143 208068 292286 438429 584572 876858 1023001 1753716 2046002 3069003 4092004 6138006 12276012