Search a number
12010100000 = 2555831447
BaseRepresentation
bin10110010111101101…
…11001010100100000
31011000000010021221112
423023312321110200
5144044041200000
65303430042452
7603423110543
oct131366712440
934000107845
1012010100000
11510342a988
1223b21a9428
13119528ca62
1481d0ca85a
154a45b8235
hex2cbdb9520

12010100000 has 144 divisors (see below), whose sum is σ = 29930959296. Its totient is φ = 4742880000.

The previous prime is 12010099951. The next prime is 12010100017. The reversal of 12010100000 is 101021.

Adding to 12010100000 its reverse (101021), we get a palindrome (12010201021).

It is a happy number.

12010100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8299277 + ... + 8300723.

It is an arithmetic number, because the mean of its divisors is an integer number (207853884).

Almost surely, 212010100000 is an apocalyptic number.

12010100000 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 12010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14965479648).

12010100000 is an abundant number, since it is smaller than the sum of its proper divisors (17920859296).

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

12010100000 is an frugal number, since it uses more digits than its factorization.

12010100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The spelling of 12010100000 in words is "twelve billion, ten million, one hundred thousand".