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121044403104 = 25347113237409
BaseRepresentation
bin111000010111011001…
…1110000001110100000
3102120102210101210012220
41300232303300032200
53440344331344404
6131335041351040
711513410310262
oct1605663601640
9376383353186
10121044403104
1147375456689
121b561638480
13b5506a0281
145c03d31b32
153236a084d9
hex1c2ecf03a0

121044403104 has 96 divisors (see below), whose sum is σ = 327375095040. Its totient is φ = 39140032512.

The previous prime is 121044403069. The next prime is 121044403141. The reversal of 121044403104 is 401304440121.

121044403104 is digitally balanced in base 3, 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 391152 + ... + 628560.

It is an arithmetic number, because the mean of its divisors is an integer number (3410157240).

Almost surely, 2121044403104 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 121044403104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163687547520).

121044403104 is an abundant number, since it is smaller than the sum of its proper divisors (206330691936).

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

121044403104 is a wasteful number, since it uses less digits than its factorization.

121044403104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237582 (or 237574 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 121044403104 its reverse (401304440121), we get a palindrome (522348843225).

The spelling of 121044403104 in words is "one hundred twenty-one billion, forty-four million, four hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 113 141 188 226 282 339 376 452 564 678 752 904 1128 1356 1504 1808 2256 2712 3616 4512 5311 5424 10622 10848 15933 21244 31866 42488 63732 84976 127464 169952 237409 254928 474818 509856 712227 949636 1424454 1899272 2848908 3798544 5697816 7597088 11158223 11395632 22316446 22791264 26827217 33474669 44632892 53654434 66949338 80481651 89265784 107308868 133898676 160963302 178531568 214617736 267797352 321926604 357063136 429235472 535594704 643853208 858470944 1071189408 1260879199 1287706416 2521758398 2575412832 3782637597 5043516796 7565275194 10087033592 15130550388 20174067184 30261100776 40348134368 60522201552 121044403104