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12000230112 = 253139615569
BaseRepresentation
bin10110010110100010…
…01111101011100000
31010222022112212000010
423023101033223200
5144034024330422
65302434324520
7603243162423
oct131321175340
933868485003
1012000230112
1150a88a9552
1223aaa29740
1311932154a0
1481ba7b9ba
154a37b8b0c
hex2cb44fae0

12000230112 has 48 divisors (see below), whose sum is σ = 33923730960. Its totient is φ = 3692378112.

The previous prime is 12000230111. The next prime is 12000230213. The reversal of 12000230112 is 21103200021.

12000230112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 (12000230111) 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 7 ways as a sum of consecutive naturals, for example, 4806537 + ... + 4809032.

It is an arithmetic number, because the mean of its divisors is an integer number (706744395).

Almost surely, 212000230112 is an apocalyptic number.

12000230112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000230112 is an abundant number, since it is smaller than the sum of its proper divisors (21923500848).

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

12000230112 is a wasteful number, since it uses less digits than its factorization.

12000230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9615595 (or 9615587 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12000230112 its reverse (21103200021), we get a palindrome (33103430133).

The spelling of 12000230112 in words is "twelve billion, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 9615569 19231138 28846707 38462276 57693414 76924552 115386828 125002397 153849104 230773656 250004794 307698208 375007191 461547312 500009588 750014382 923094624 1000019176 1500028764 2000038352 3000057528 4000076704 6000115056 12000230112