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12221013120 = 27356365111
BaseRepresentation
bin10110110000110110…
…11101110010000000
31011112200222210100120
423120123131302000
5200012034404440
65340402420240
7611563616601
oct133033356200
934480883316
1012221013120
115201497048
122450961680
1311c9b98414
1483d10dda8
154b7d7add0
hex2d86ddc80

12221013120 has 64 divisors (see below), whose sum is σ = 38954485440. Its totient is φ = 3258936320.

The previous prime is 12221013113. The next prime is 12221013121. The reversal of 12221013120 is 2131012221.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12221013120.

It is not an unprimeable number, because it can be changed into a prime (12221013121) 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, 3180636 + ... + 3184475.

It is an arithmetic number, because the mean of its divisors is an integer number (608663835).

Almost surely, 212221013120 is an apocalyptic number.

12221013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221013120 is an abundant number, since it is smaller than the sum of its proper divisors (26733472320).

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

12221013120 is an equidigital number, since it uses as much as digits as its factorization.

12221013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6365133 (or 6365121 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12221013120 its reverse (2131012221), we get a palindrome (14352025341).

It can be divided in two parts, 1222101 and 3120, that added together give a palindrome (1225221).

The spelling of 12221013120 in words is "twelve billion, two hundred twenty-one million, thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 6365111 12730222 19095333 25460444 31825555 38190666 50920888 63651110 76381332 95476665 101841776 127302220 152762664 190953330 203683552 254604440 305525328 381906660 407367104 509208880 611050656 763813320 814734208 1018417760 1222101312 1527626640 2036835520 2444202624 3055253280 4073671040 6110506560 12221013120