Search a number
-
+
12010011120 = 2432516680571
BaseRepresentation
bin10110010111101101…
…00011100111110000
31010222222221210000200
423023312203213300
5144044030323440
65303424115200
7603422260452
oct131366434760
933888853020
1012010011120
11510337a128
1223b2165b00
13119525b473
1481d0a62d2
154a459bc30
hex2cbda39f0

12010011120 has 60 divisors (see below), whose sum is σ = 40333623096. Its totient is φ = 3202669440.

The previous prime is 12010011119. The next prime is 12010011133. The reversal of 12010011120 is 2111001021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8339566 + ... + 8341005.

Almost surely, 212010011120 is an apocalyptic number.

12010011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010011120 is an abundant number, since it is smaller than the sum of its proper divisors (28323611976).

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

12010011120 is a wasteful number, since it uses less digits than its factorization.

12010011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16680590 (or 16680581 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12010011120 its reverse (2111001021), we get a palindrome (14121012141).

The spelling of 12010011120 in words is "twelve billion, ten million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 16680571 33361142 50041713 66722284 83402855 100083426 133444568 150125139 166805710 200166852 250208565 266889136 300250278 333611420 400333704 500417130 600500556 667222840 750625695 800667408 1000834260 1201001112 1334445680 1501251390 2001668520 2402002224 3002502780 4003337040 6005005560 12010011120