Search a number
-
+
1212100000 = 2555172331
BaseRepresentation
bin100100000111111…
…0010110110100000
310010110210001121121
41020033302312200
54440244200000
6320135302024
742015452146
oct11017626640
93113701547
101212100000
11572220741
12299b1a914
1316416cb47
14b6d9d596
157162ab1a
hex483f2da0

1212100000 has 288 divisors, whose sum is σ = 3401782272. Its totient is φ = 422400000.

The previous prime is 1212099991. The next prime is 1212100009. The reversal of 1212100000 is 12121.

It is an interprime number because it is at equal distance from previous prime (1212099991) and next prime (1212100009).

It is not an unprimeable number, because it can be changed into a prime (1212100009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39099985 + ... + 39100015.

It is an arithmetic number, because the mean of its divisors is an integer number (11811744).

Almost surely, 21212100000 is an apocalyptic number.

1212100000 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 1212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700891136).

1212100000 is an abundant number, since it is smaller than the sum of its proper divisors (2189682272).

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

1212100000 is an equidigital number, since it uses as much as digits as its factorization.

1212100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1212100000 is about 34815.2265539089. The cubic root of 1212100000 is about 1066.2183445819.

Adding to 1212100000 its reverse (12121), we get a palindrome (1212112121).

1212100000 divided by its reverse (12121) gives a 5-th power (100000 = 105).

The spelling of 1212100000 in words is "one billion, two hundred twelve million, one hundred thousand".