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12221000040 = 2335101841667
BaseRepresentation
bin10110110000110110…
…11010100101101000
31011112200222010102010
423120123122211220
5200012034000130
65340402235520
7611563533504
oct133033324550
934480863363
1012221000040
115201488237
122450955ba0
1311c9b92492
1483d109304
154b7d770b0
hex2d86da968

12221000040 has 32 divisors (see below), whose sum is σ = 36663000480. Its totient is φ = 3258933312.

The previous prime is 12221000039. The next prime is 12221000041. The reversal of 12221000040 is 4000012221.

12221000040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12221000039) and next prime (12221000041).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12221000041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 50920714 + ... + 50920953.

It is an arithmetic number, because the mean of its divisors is an integer number (1145718765).

Almost surely, 212221000040 is an apocalyptic number.

12221000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221000040 is an abundant number, since it is smaller than the sum of its proper divisors (24442000440).

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

12221000040 is a wasteful number, since it uses less digits than its factorization.

12221000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101841681 (or 101841677 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12221000040 its reverse (4000012221), we get a palindrome (16221012261).

The spelling of 12221000040 in words is "twelve billion, two hundred twenty-one million, forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 101841667 203683334 305525001 407366668 509208335 611050002 814733336 1018416670 1222100004 1527625005 2036833340 2444200008 3055250010 4073666680 6110500020 12221000040