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12221001210996 = 22323127134036387
BaseRepresentation
bin1011000111010110110001…
…1011111001110001110100
31121021022112120211211211100
42301311230123321301310
53100212102302222441
641554130033010100
72400636542216634
oct261655433716164
947238476754740
1012221001210996
113991996645726
1214546186b3930
136a8587958b16
143036dcd2a6c4
15162d69e80cb6
hexb1d6c6f9c74

12221001210996 has 72 divisors (see below), whose sum is σ = 31900252477184. Its totient is φ = 3940804379520.

The previous prime is 12221001210959. The next prime is 12221001211031. The reversal of 12221001210996 is 69901210012221.

It is a super-2 number, since 2×122210012109962 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12221001210996.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1009515 + ... + 5045901.

Almost surely, 212221001210996 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 12221001210996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15950126238592).

12221001210996 is an abundant number, since it is smaller than the sum of its proper divisors (19679251266188).

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

12221001210996 is a wasteful number, since it uses less digits than its factorization.

12221001210996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039141 (or 4039136 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 12221001210996 in words is "twelve trillion, two hundred twenty-one billion, one million, two hundred ten thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 2713 5426 8139 10852 16278 24417 32556 48834 84103 97668 168206 252309 336412 504618 756927 1009236 1513854 3027708 4036387 8072774 12109161 16145548 24218322 36327483 48436644 72654966 125127997 145309932 250255994 375383991 500511988 750767982 1126151973 1501535964 2252303946 4504607892 10950717931 21901435862 32852153793 43802871724 65704307586 98556461379 131408615172 197112922758 339472255861 394225845516 678944511722 1018416767583 1357889023444 2036833535166 3055250302749 4073667070332 6110500605498 12221001210996