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121329613056 = 283353521859
BaseRepresentation
bin111000011111111001…
…1101111100100000000
3102121011200001221201110
41300333303233210000
53441440340104211
6131423230403320
711523442460211
oct1607763574400
9377150057643
10121329613056
1147501449093
121b621060540
13b5977c0162
145c2db75408
153251a94ea6
hex1c3fcef900

121329613056 has 144 divisors (see below), whose sum is σ = 324827737920. Its totient is φ = 40204369920.

The previous prime is 121329613051. The next prime is 121329613057. The reversal of 121329613056 is 650316923121.

It is not an unprimeable number, because it can be changed into a prime (121329613051) 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, 141244755 + ... + 141245613.

It is an arithmetic number, because the mean of its divisors is an integer number (2255748180).

Almost surely, 2121329613056 is an apocalyptic number.

121329613056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121329613056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162413868960).

121329613056 is an abundant number, since it is smaller than the sum of its proper divisors (203498124864).

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

121329613056 is an equidigital number, since it uses as much as digits as its factorization.

121329613056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 121329613056 in words is "one hundred twenty-one billion, three hundred twenty-nine million, six hundred thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 353 384 521 706 768 859 1042 1059 1412 1563 1718 2084 2118 2577 2824 3126 3436 4168 4236 5154 5648 6252 6872 8336 8472 10308 11296 12504 13744 16672 16944 20616 22592 25008 27488 33344 33888 41232 45184 50016 54976 66688 67776 82464 90368 100032 109952 133376 135552 164928 183913 200064 219904 271104 303227 329856 367826 400128 447539 551739 606454 659712 735652 895078 909681 1103478 1212908 1342617 1471304 1790156 1819362 2206956 2425816 2685234 2942608 3580312 3638724 4413912 4851632 5370468 5885216 7160624 7277448 8827824 9703264 10740936 11770432 14321248 14554896 17655648 19406528 21481872 23540864 28642496 29109792 35311296 38813056 42963744 47081728 57284992 58219584 70622592 77626112 85927488 114569984 116439168 141245184 157981267 171854976 232878336 315962534 343709952 473943801 631925068 947887602 1263850136 1895775204 2527700272 3791550408 5055400544 7583100816 10110801088 15166201632 20221602176 30332403264 40443204352 60664806528 121329613056