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2121012122120 = 235238324599049
BaseRepresentation
bin11110110111010110001…
…011001001001000001000
321111202200222111120222222
4132313112023021020020
5234222313100401440
64302213550433212
7306144441366563
oct36672613111010
97452628446888
102121012122120
11748575059271
122a3096802808
1312501a341368
147492c3bb4da
153a28bc5b2b5
hex1edd62c9208

2121012122120 has 64 divisors (see below), whose sum is σ = 4776749280000. Its totient is φ = 847610270208.

The previous prime is 2121012122093. The next prime is 2121012122129. The reversal of 2121012122120 is 212212101212.

It is not an unprimeable number, because it can be changed into a prime (2121012122129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234387356 + ... + 234396404.

It is an arithmetic number, because the mean of its divisors is an integer number (74636707500).

Almost surely, 22121012122120 is an apocalyptic number.

2121012122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121012122120 is an abundant number, since it is smaller than the sum of its proper divisors (2655737157880).

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

2121012122120 is a wasteful number, since it uses less digits than its factorization.

2121012122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13902 (or 13898 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2121012122120 its reverse (212212101212), we get a palindrome (2333224223332).

The spelling of 2121012122120 in words is "two trillion, one hundred twenty-one billion, twelve million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2383 2459 4766 4918 9049 9532 9836 11915 12295 18098 19064 19672 23830 24590 36196 45245 47660 49180 72392 90490 95320 98360 180980 361960 5859797 11719594 21563767 22251491 23439188 29298985 43127534 44502982 46878376 58597970 86255068 89005964 107818835 111257455 117195940 172510136 178011928 215637670 222514910 234391880 431275340 445029820 862550680 890059640 53025303053 106050606106 212101212212 265126515265 424202424424 530253030530 1060506061060 2121012122120