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12201002112 = 273132444111
BaseRepresentation
bin10110101110011110…
…01000010010000000
31011111022100010102010
423113033020102000
5144441424031422
65334405452520
7611231543505
oct132717102200
934438303363
1012201002112
1151a1169522
122446111140
1311c59acca0
1483a5c14ac
154b6226b0c
hex2d73c8480

12201002112 has 64 divisors (see below), whose sum is σ = 34901919360. Its totient is φ = 3754152960.

The previous prime is 12201002087. The next prime is 12201002113. The reversal of 12201002112 is 21120010221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12201002113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1217064 + ... + 1227047.

It is an arithmetic number, because the mean of its divisors is an integer number (545342490).

Almost surely, 212201002112 is an apocalyptic number.

12201002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12201002112 is an abundant number, since it is smaller than the sum of its proper divisors (22700917248).

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

12201002112 is a wasteful number, since it uses less digits than its factorization.

12201002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444141 (or 2444129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12201002112 its reverse (21120010221), we get a palindrome (33321012333).

The spelling of 12201002112 in words is "twelve billion, two hundred one million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 2444111 4888222 7332333 9776444 14664666 19552888 29329332 31773443 39105776 58658664 63546886 78211552 95320329 117317328 127093772 156423104 190640658 234634656 254187544 312846208 381281316 469269312 508375088 762562632 938538624 1016750176 1525125264 2033500352 3050250528 4067000704 6100501056 12201002112