Search a number
-
+
1123122000 = 2435371121317
BaseRepresentation
bin100001011110001…
…0111101101010000
32220021100111202010
41002330113231100
54300004401000
6303240222520
736555244110
oct10274275520
92807314663
101123122000
11526a78200
1227416aa40
1314b8b8140
14a923b040
1568901d50
hex42f17b50

1123122000 has 960 divisors, whose sum is σ = 5186668032. Its totient is φ = 202752000.

The previous prime is 1123121999. The next prime is 1123122001. The reversal of 1123122000 is 2213211.

It is an interprime number because it is at equal distance from previous prime (1123121999) and next prime (1123122001).

It is a super-2 number, since 2×11231220002 = 2522806053768000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123122001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66065992 + ... + 66066008.

Almost surely, 21123122000 is an apocalyptic number.

1123122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593334016).

1123122000 is an abundant number, since it is smaller than the sum of its proper divisors (4063546032).

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

1123122000 is a wasteful number, since it uses less digits than its factorization.

1123122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1123122000 is about 33513.0123981715. The cubic root of 1123122000 is about 1039.4628636547.

Adding to 1123122000 its reverse (2213211), we get a palindrome (1125335211).

The spelling of 1123122000 in words is "one billion, one hundred twenty-three million, one hundred twenty-two thousand".