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2122000122 = 2311298912457
BaseRepresentation
bin111111001111011…
…0010011011111010
312110212220202221010
41332132302123322
513321213000442
6550321454350
7103404463164
oct17636623372
95425822833
102122000122
119998a5110
124b27a13b6
1327a821798
14161b75934
15c6460b9c
hex7e7b26fa

2122000122 has 64 divisors (see below), whose sum is σ = 4843670400. Its totient is φ = 613831680.

The previous prime is 2122000121. The next prime is 2122000147. The reversal of 2122000122 is 2210002212.

It is a junction number, because it is equal to n+sod(n) for n = 2122000098 and 2122000107.

It is not an unprimeable number, because it can be changed into a prime (2122000121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164118 + ... + 176574.

It is an arithmetic number, because the mean of its divisors is an integer number (75682350).

Almost surely, 22122000122 is an apocalyptic number.

2122000122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421835200).

2122000122 is an abundant number, since it is smaller than the sum of its proper divisors (2721670278).

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

2122000122 is a wasteful number, since it uses less digits than its factorization.

2122000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12591.

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

The square root of 2122000122 is about 46065.1725493349. The cubic root of 2122000122 is about 1285.0355275899.

Adding to 2122000122 its reverse (2210002212), we get a palindrome (4332002334).

The spelling of 2122000122 in words is "two billion, one hundred twenty-two million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 29 33 58 66 87 89 174 178 267 319 534 638 957 979 1914 1958 2581 2937 5162 5874 7743 12457 15486 24914 28391 37371 56782 74742 85173 137027 170346 274054 361253 411081 722506 822162 1083759 1108673 2167518 2217346 3326019 3973783 6652038 7947566 11921349 12195403 23842698 24390806 32151517 36586209 64303034 73172418 96454551 192909102 353666687 707333374 1061000061 2122000122