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12122000020 = 2251346623077
BaseRepresentation
bin10110100101000011…
…10000101010010100
31011021210200101220201
423102201300222110
5144311213000040
65322504310244
7606252204634
oct132241605224
934253611821
1012122000020
11516060a039
122423772384
1311b250bba0
1482dcd86c4
154ae31da9a
hex2d2870a94

12122000020 has 24 divisors (see below), whose sum is σ = 27414369864. Its totient is φ = 4475815296.

The previous prime is 12121999999. The next prime is 12122000021. The reversal of 12122000020 is 2000022121.

It can be written as a sum of positive squares in 4 ways, for example, as 895326084 + 11226673936 = 29922^2 + 105956^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12121999970 and 12122000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122000021) 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, 23311279 + ... + 23311798.

It is an arithmetic number, because the mean of its divisors is an integer number (1142265411).

Almost surely, 212122000020 is an apocalyptic number.

12122000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122000020 is an abundant number, since it is smaller than the sum of its proper divisors (15292369844).

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

12122000020 is a wasteful number, since it uses less digits than its factorization.

12122000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46623099 (or 46623097 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12122000020 its reverse (2000022121), we get a palindrome (14122022141).

The spelling of 12122000020 in words is "twelve billion, one hundred twenty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 46623077 93246154 186492308 233115385 466230770 606100001 932461540 1212200002 2424400004 3030500005 6061000010 12122000020