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12221002112010 = 2357113734178849
BaseRepresentation
bin1011000111010110110001…
…1111010101110000001010
31121021022112122112121210020
42301311230133111300022
53100212103020041020
641554130104201310
72400636552661536
oct261655437256012
947238478477706
1012221002112010
11399199710066a
121454618a69236
136a8587bb2c73
143036dd0c2bc6
15162d6a0acc40
hexb1d6c7d5c0a

12221002112010 has 64 divisors (see below), whose sum is σ = 29765179641600. Its totient is φ = 3210692495360.

The previous prime is 12221002111991. The next prime is 12221002112017. The reversal of 12221002112010 is 1021120012221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12221002112017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 835066 + ... + 5013914.

It is an arithmetic number, because the mean of its divisors is an integer number (465080931900).

Almost surely, 212221002112010 is an apocalyptic number.

12221002112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221002112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14882589820800).

12221002112010 is an abundant number, since it is smaller than the sum of its proper divisors (17544177529590).

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

12221002112010 is a wasteful number, since it uses less digits than its factorization.

12221002112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180303.

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

Adding to 12221002112010 its reverse (1021120012221), we get a palindrome (13242122124231).

The spelling of 12221002112010 in words is "twelve trillion, two hundred twenty-one billion, two million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 710 1065 1373 2130 2746 4119 6865 8238 13730 20595 41190 97483 194966 292449 487415 584898 974830 1462245 2924490 4178849 8357698 12536547 20894245 25073094 41788490 62682735 125365470 296698279 593396558 890094837 1483491395 1780189674 2966982790 4450474185 5737559677 8900948370 11475119354 17212679031 28687798385 34425358062 57375596770 86063395155 172126790310 407366737067 814733474134 1222100211201 2036833685335 2444200422402 4073667370670 6110501056005 12221002112010