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12122000010 = 2325134688889
BaseRepresentation
bin10110100101000011…
…10000101010001010
31011021210200101220100
423102201300222022
5144311213000020
65322504310230
7606252204621
oct132241605212
934253611810
1012122000010
11516060a02a
122423772376
1311b250bb93
1482dcd86b8
154ae31da90
hex2d2870a8a

12122000010 has 24 divisors (see below), whose sum is σ = 31517200260. Its totient is φ = 3232533312.

The previous prime is 12121999999. The next prime is 12122000021. The reversal of 12122000010 is 1000022121.

It is an interprime number because it is at equal distance from previous prime (12121999999) and next prime (12122000021).

It can be written as a sum of positive squares in 2 ways, for example, as 11876858361 + 245141649 = 108981^2 + 15657^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12121999956 and 12122000001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67344355 + ... + 67344534.

Almost surely, 212122000010 is an apocalyptic number.

12122000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12122000010 is an abundant number, since it is smaller than the sum of its proper divisors (19395200250).

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

12122000010 is a wasteful number, since it uses less digits than its factorization.

12122000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134688902 (or 134688899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12122000010 its reverse (1000022121), we get a palindrome (13122022131).

The spelling of 12122000010 in words is "twelve billion, one hundred twenty-two million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 134688889 269377778 404066667 673444445 808133334 1212200001 1346888890 2020333335 2424400002 4040666670 6061000005 12122000010