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12201984 = 21232331
BaseRepresentation
bin101110100011…
…000000000000
3211221220222100
4232203000000
511110430414
61113310400
7205500204
oct56430000
924856870
1012201984
116984593
124105400
1326b2c12
141898b04
151110609
hexba3000

12201984 has 78 divisors (see below), whose sum is σ = 35352356. Its totient is φ = 4055040.

The previous prime is 12201961. The next prime is 12201991. The reversal of 12201984 is 48910221.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36699 + ... + 37029.

Almost surely, 212201984 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 12201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17676178).

12201984 is an abundant number, since it is smaller than the sum of its proper divisors (23150372).

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

12201984 is an equidigital number, since it uses as much as digits as its factorization.

12201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12201984 is about 3493.1338365428. The cubic root of 12201984 is about 230.2202301412.

The spelling of 12201984 in words is "twelve million, two hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 331 384 512 576 662 768 993 1024 1152 1324 1536 1986 2048 2304 2648 2979 3072 3972 4096 4608 5296 5958 6144 7944 9216 10592 11916 12288 15888 18432 21184 23832 31776 36864 42368 47664 63552 84736 95328 127104 169472 190656 254208 338944 381312 508416 677888 762624 1016832 1355776 1525248 2033664 3050496 4067328 6100992 12201984