Search a number
-
+
12216106272 = 2531151110557
BaseRepresentation
bin10110110000010001…
…01111110100100000
31011112100202111102110
423120020233310200
5200004310400042
65340105315320
7611504122116
oct133010576440
934470674373
1012216106272
1151a97454a7
12244b195b40
1311c8b6ab66
1483c5d3ab6
154b770c09c
hex2d822fd20

12216106272 has 48 divisors (see below), whose sum is σ = 32095429632. Its totient is φ = 4068460800.

The previous prime is 12216106261. The next prime is 12216106319. The reversal of 12216106272 is 27260161221.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55218 + ... + 165774.

It is an arithmetic number, because the mean of its divisors is an integer number (668654784).

Almost surely, 212216106272 is an apocalyptic number.

12216106272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12216106272 is an abundant number, since it is smaller than the sum of its proper divisors (19879323360).

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

12216106272 is a wasteful number, since it uses less digits than its factorization.

12216106272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111721 (or 111713 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

Adding to 12216106272 its reverse (27260161221), we get a palindrome (39476267493).

The spelling of 12216106272 in words is "twelve billion, two hundred sixteen million, one hundred six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1151 2302 3453 4604 6906 9208 13812 18416 27624 36832 55248 110496 110557 221114 331671 442228 663342 884456 1326684 1768912 2653368 3537824 5306736 10613472 127251107 254502214 381753321 509004428 763506642 1018008856 1527013284 2036017712 3054026568 4072035424 6108053136 12216106272