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12221021000 = 235312221021
BaseRepresentation
bin10110110000110110…
…11111101101001000
31011112201000012011102
423120123133231020
5200012040133000
65340402520532
7611563651556
oct133033375510
934481005142
1012221021000
1152014a1a61
122450966148
1311c9b9bb96
1483d112bd6
154b7d7d3d5
hex2d86dfb48

12221021000 has 32 divisors (see below), whose sum is σ = 28597191480. Its totient is φ = 4888408000.

The previous prime is 12221020969. The next prime is 12221021053. The reversal of 12221021000 is 12012221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 551404324 + 11669616676 = 23482^2 + 108026^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6109511 + ... + 6111510.

Almost surely, 212221021000 is an apocalyptic number.

12221021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221021000 is an abundant number, since it is smaller than the sum of its proper divisors (16376170480).

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

12221021000 is a wasteful number, since it uses less digits than its factorization.

12221021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12221042 (or 12221028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12221021000 its reverse (12012221), we get a palindrome (12233033221).

The spelling of 12221021000 in words is "twelve billion, two hundred twenty-one million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12221021 24442042 48884084 61105105 97768168 122210210 244420420 305525525 488840840 611051050 1222102100 1527627625 2444204200 3055255250 6110510500 12221021000