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12368121064 = 2313472838941
BaseRepresentation
bin10111000010011001…
…01000110011101000
31011220221210122111221
423201030220303220
5200312214333224
65403135431424
7615331202665
oct134114506350
934827718457
1012368121064
115277533462
122492085574
1312214c3b40
14854884a6c
154c5c386e4
hex2e1328ce8

12368121064 has 64 divisors (see below), whose sum is σ = 25598442240. Its totient is φ = 5566544640.

The previous prime is 12368121019. The next prime is 12368121067. The reversal of 12368121064 is 46012186321.

It is not an unprimeable number, because it can be changed into a prime (12368121067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1378834 + ... + 1387774.

It is an arithmetic number, because the mean of its divisors is an integer number (399975660).

Almost surely, 212368121064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12368121064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12799221120).

12368121064 is an abundant number, since it is smaller than the sum of its proper divisors (13230321176).

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

12368121064 is a wasteful number, since it uses less digits than its factorization.

12368121064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9290 (or 9286 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 12368121064 in words is "twelve billion, three hundred sixty-eight million, one hundred twenty-one thousand, sixty-four".

Divisors: 1 2 4 8 13 26 47 52 94 104 188 283 376 566 611 1132 1222 2264 2444 3679 4888 7358 8941 13301 14716 17882 26602 29432 35764 53204 71528 106408 116233 172913 232466 345826 420227 464932 691652 840454 929864 1383304 1680908 2530303 3361816 5060606 5462951 10121212 10925902 20242424 21851804 32893939 43703608 65787878 118924241 131575756 237848482 263151512 475696964 951393928 1546015133 3092030266 6184060532 12368121064