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121310322023312 = 24294121372983949
BaseRepresentation
bin11011100101010011000010…
…101001101101101110010000
3120220112011010220211121020022
4123211103002221231232100
5111400022014414221222
61110001105333203012
734360244603464142
oct3345230251555620
9526464126747208
10121310322023312
1135720467257284
1211732905490468
13528c68bb506c6
1421d5645444c92
15e0585e848042
hex6e54c2a6db90

121310322023312 has 80 divisors (see below), whose sum is σ = 249190500006000. Its totient is φ = 57108467834880.

The previous prime is 121310322023291. The next prime is 121310322023389. The reversal of 121310322023312 is 213320223013121.

It can be written as a sum of positive squares in 8 ways, for example, as 29991351262096 + 91318970761216 = 5476436^2 + 9556096^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39162314 + ... + 42146262.

It is an arithmetic number, because the mean of its divisors is an integer number (3114881250075).

Almost surely, 2121310322023312 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 121310322023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124595250003000).

121310322023312 is an abundant number, since it is smaller than the sum of its proper divisors (127880177982688).

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

121310322023312 is a wasteful number, since it uses less digits than its factorization.

121310322023312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986164 (or 2986158 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 121310322023312 its reverse (213320223013121), we get a palindrome (334630545036433).

The spelling of 121310322023312 in words is "one hundred twenty-one trillion, three hundred ten billion, three hundred twenty-two million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 41 58 82 116 164 232 328 464 656 1189 2137 2378 4274 4756 8548 9512 17096 19024 34192 61973 87617 123946 175234 247892 350468 495784 700936 991568 1401872 2540893 2983949 5081786 5967898 10163572 11935796 20327144 23871592 40654288 47743184 86534521 122341909 173069042 244683818 346138084 489367636 692276168 978735272 1384552336 1957470544 3547915361 6376699013 7095830722 12753398026 14191661444 25506796052 28383322888 51013592104 56766645776 102027184208 184924271377 261444659533 369848542754 522889319066 739697085508 1045778638132 1479394171016 2091557276264 2958788342032 4183114552528 7581895126457 15163790252914 30327580505828 60655161011656 121310322023312