Search a number
-
+
12312012132 = 2232748857191
BaseRepresentation
bin10110111011101101…
…00110010101100100
31011210001020000112100
423131312212111210
5200203333342012
65353413052100
7614050243050
oct133566462544
934701200470
1012312012132
11524889aa42
122477327030
1312129a9ca4
1484b23ac60
154c0d538dc
hex2ddda6564

12312012132 has 36 divisors (see below), whose sum is σ = 35568035776. Its totient is φ = 3517717680.

The previous prime is 12312012131. The next prime is 12312012143. The reversal of 12312012132 is 23121021321.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12312012131) by changing a digit.

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, 24428344 + ... + 24428847.

Almost surely, 212312012132 is an apocalyptic number.

12312012132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12312012132 is an abundant number, since it is smaller than the sum of its proper divisors (23256023644).

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

12312012132 is a wasteful number, since it uses less digits than its factorization.

12312012132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48857208 (or 48857203 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12312012132 its reverse (23121021321), we get a palindrome (35433033453).

The spelling of 12312012132 in words is "twelve billion, three hundred twelve million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 48857191 97714382 146571573 195428764 293143146 342000337 439714719 586286292 684000674 879429438 1026001011 1368001348 1758858876 2052002022 3078003033 4104004044 6156006066 12312012132