Search a number
-
+
2122000120 = 235431233721
BaseRepresentation
bin111111001111011…
…0010011011111000
312110212220202221001
41332132302123320
513321213000440
6550321454344
7103404463162
oct17636623370
95425822831
102122000120
119998a5109
124b27a13b4
1327a821796
14161b75932
15c6460b9a
hex7e7b26f8

2122000120 has 32 divisors (see below), whose sum is σ = 4885539120. Its totient is φ = 829059840.

The previous prime is 2122000117. The next prime is 2122000121. The reversal of 2122000120 is 210002212.

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 = 2122000097 and 2122000106.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 615141 + ... + 618580.

Almost surely, 22122000120 is an apocalyptic number.

2122000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122000120 is an abundant number, since it is smaller than the sum of its proper divisors (2763539000).

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

2122000120 is a wasteful number, since it uses less digits than its factorization.

2122000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233775 (or 1233771 counting only the distinct ones).

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

The square root of 2122000120 is about 46065.1725276266. The cubic root of 2122000120 is about 1285.0355271862.

Adding to 2122000120 its reverse (210002212), we get a palindrome (2332002332).

The spelling of 2122000120 in words is "two billion, one hundred twenty-two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 1233721 2467442 4934884 6168605 9869768 12337210 24674420 49348840 53050003 106100006 212200012 265250015 424400024 530500030 1061000060 2122000120