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12221322984 = 23331317256019
BaseRepresentation
bin10110110000111001…
…01001011011101000
31011112201120112102000
423120130221123220
5200012124313414
65340413211000
7611566350153
oct133034513350
934481515360
1012221322984
115201688932
122450a90a60
1311c9c76480
1483d190c9a
154b7ddcb09
hex2d87296e8

12221322984 has 128 divisors (see below), whose sum is σ = 38710224000. Its totient is φ = 3539192832.

The previous prime is 12221322979. The next prime is 12221322991. The reversal of 12221322984 is 48922312221.

It is a happy number.

12221322984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80274 + ... + 175745.

It is an arithmetic number, because the mean of its divisors is an integer number (302423625).

Almost surely, 212221322984 is an apocalyptic number.

It is an amenable number.

12221322984 is an abundant number, since it is smaller than the sum of its proper divisors (26488901016).

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

12221322984 is a wasteful number, since it uses less digits than its factorization.

12221322984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256064 (or 256054 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 12221322984 in words is "twelve billion, two hundred twenty-one million, three hundred twenty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 102 104 108 117 136 153 156 204 216 221 234 306 312 351 408 442 459 468 612 663 702 884 918 936 1224 1326 1404 1768 1836 1989 2652 2808 3672 3978 5304 5967 7956 11934 15912 23868 47736 256019 512038 768057 1024076 1536114 2048152 2304171 3072228 3328247 4352323 4608342 6144456 6656494 6912513 8704646 9216684 9984741 13056969 13312988 13825026 17409292 18433368 19969482 26113938 26625976 27650052 29954223 34818584 39170907 39938964 52227876 55300104 56580199 59908446 78341814 79877928 89862669 104455752 113160398 117512721 119816892 156683628 169740597 179725338 226320796 235025442 239633784 313367256 339481194 359450676 452641592 470050884 509221791 678962388 718901352 940101768 1018443582 1357924776 1527665373 2036887164 3055330746 4073774328 6110661492 12221322984