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12211001440 = 255116938069
BaseRepresentation
bin10110101111101010…
…10001100001100000
31011112000011010220121
423113311101201200
5200002004021230
65335404050024
7611412541201
oct132765214140
934460133817
1012211001440
1151a6879130
122449533914
1311c7aa1451
1483ba655a8
154b704e77a
hex2d7d51860

12211001440 has 48 divisors (see below), whose sum is σ = 31471085520. Its totient is φ = 4440363520.

The previous prime is 12211001431. The next prime is 12211001441. The reversal of 12211001440 is 4410011221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211001441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3467275 + ... + 3470794.

It is an arithmetic number, because the mean of its divisors is an integer number (655647615).

Almost surely, 212211001440 is an apocalyptic number.

12211001440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211001440 is an abundant number, since it is smaller than the sum of its proper divisors (19260084080).

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

12211001440 is a wasteful number, since it uses less digits than its factorization.

12211001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6938095 (or 6938087 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12211001440 its reverse (4410011221), we get a palindrome (16621012661).

The spelling of 12211001440 in words is "twelve billion, two hundred eleven million, one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 6938069 13876138 27752276 34690345 55504552 69380690 76318759 111009104 138761380 152637518 222018208 277522760 305275036 381593795 555045520 610550072 763187590 1110091040 1221100144 1526375180 2442200288 3052750360 6105500720 12211001440