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12221121120 = 2535131958513
BaseRepresentation
bin10110110000110111…
…11000001001100000
31011112201012021111120
423120123320021200
5200012101333440
65340405012240
7611564546505
oct133033701140
934481167446
1012221121120
1152015601aa
1224509b4080
1311c9c05620
1483d13b4ac
154b7d9cdd0
hex2d86f8260

12221121120 has 96 divisors (see below), whose sum is σ = 41457824352. Its totient is φ = 3008274432.

The previous prime is 12221121079. The next prime is 12221121161. The reversal of 12221121120 is 2112112221.

It is an interprime number because it is at equal distance from previous prime (12221121079) and next prime (12221121161).

It is a tau number, because it is divible by the number of its divisors (96).

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 12221121120.

It is a congruent number.

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, 973017 + ... + 985496.

It is an arithmetic number, because the mean of its divisors is an integer number (431852337).

Almost surely, 212221121120 is an apocalyptic number.

12221121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221121120 is an abundant number, since it is smaller than the sum of its proper divisors (29236703232).

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

12221121120 is a wasteful number, since it uses less digits than its factorization.

12221121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958544 (or 1958536 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12221121120 its reverse (2112112221), we get a palindrome (14333233341).

The spelling of 12221121120 in words is "twelve billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 1958513 3917026 5875539 7834052 9792565 11751078 15668104 19585130 23502156 25460669 29377695 31336208 39170260 47004312 50921338 58755390 62672416 76382007 78340520 94008624 101842676 117510780 127303345 152764014 156681040 188017248 203685352 235021560 254606690 305528028 313362080 381910035 407370704 470043120 509213380 611056056 763820070 814741408 940086240 1018426760 1222112112 1527640140 2036853520 2444224224 3055280280 4073707040 6110560560 12221121120