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12212100040 = 2357190122943
BaseRepresentation
bin10110101111110010…
…11101101111001000
31011112002012221220111
423113321131233020
5200002244200130
65335443404104
7611425065130
oct132771355710
934462187814
1012212100040
1151a7459568
122449983634
1311c80974ca
1483bc6dac0
154b71ba02a
hex2d7e5dbc8

12212100040 has 64 divisors (see below), whose sum is σ = 31420431360. Its totient is φ = 4184620800.

The previous prime is 12212100037. The next prime is 12212100049. The reversal of 12212100040 is 4000121221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12212100049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520809 + ... + 543751.

It is an arithmetic number, because the mean of its divisors is an integer number (490944240).

Almost surely, 212212100040 is an apocalyptic number.

12212100040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212100040 is an abundant number, since it is smaller than the sum of its proper divisors (19208331320).

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

12212100040 is a wasteful number, since it uses less digits than its factorization.

12212100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24862 (or 24858 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12212100040 its reverse (4000121221), we get a palindrome (16212221261).

The spelling of 12212100040 in words is "twelve billion, two hundred twelve million, one hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1901 3802 7604 9505 13307 15208 19010 22943 26614 38020 45886 53228 66535 76040 91772 106456 114715 133070 160601 183544 229430 266140 321202 458860 532280 642404 803005 917720 1284808 1606010 3212020 6424040 43614643 87229286 174458572 218073215 305302501 348917144 436146430 610605002 872292860 1221210004 1526512505 1744585720 2442420008 3053025010 6106050020 12212100040