Search a number
-
+
12002121012 = 2237241592873
BaseRepresentation
bin10110010110110000…
…11101010100110100
31010222110002220211110
423023120131110310
5144040020333022
65302543035020
7603265226310
oct131330352464
933873086743
1012002121012
1150a9980182
1223ab59ba70
13119372806b
1481c010b40
154a3a3e00c
hex2cb61d534

12002121012 has 48 divisors (see below), whose sum is σ = 32138513792. Its totient is φ = 3414942720.

The previous prime is 12002121011. The next prime is 12002121037. The reversal of 12002121012 is 21012120021.

12002121012 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002121011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 276193 + ... + 316680.

Almost surely, 212002121012 is an apocalyptic number.

12002121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002121012 is an abundant number, since it is smaller than the sum of its proper divisors (20136392780).

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

12002121012 is a wasteful number, since it uses less digits than its factorization.

12002121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593128 (or 593126 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12002121012 its reverse (21012120021), we get a palindrome (33014241033).

Subtracting 12002121012 from its reverse (21012120021), we obtain a palindrome (9009999009).

It can be divided in two parts, 120021 and 21012, that multiplied together give a palindrome (2521881252).

The spelling of 12002121012 in words is "twelve billion, two million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 241 482 723 964 1446 1687 2892 3374 5061 6748 10122 20244 592873 1185746 1778619 2371492 3557238 4150111 7114476 8300222 12450333 16600444 24900666 49801332 142882393 285764786 428647179 571529572 857294358 1000176751 1714588716 2000353502 3000530253 4000707004 6001060506 12002121012