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2121022120112 = 247412292017009
BaseRepresentation
bin11110110111010110110…
…001010010000010110000
321111202201200022112122222
4132313112301102002300
5234222323130320422
64302214545020212
7306144622360340
oct36672661220260
97452650275588
102121022120112
1174857a767975
122a309a024668
1312501c43202c
147492d860d20
153a28ca83842
hex1edd6c520b0

2121022120112 has 80 divisors (see below), whose sum is σ = 4832110516800. Its totient is φ = 882965422080.

The previous prime is 2121022120109. The next prime is 2121022120117. The reversal of 2121022120112 is 2110212201212.

It is not an unprimeable number, because it can be changed into a prime (2121022120117) 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, 43064 + ... + 2060072.

It is an arithmetic number, because the mean of its divisors is an integer number (60401381460).

Almost surely, 22121022120112 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 2121022120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416055258400).

2121022120112 is an abundant number, since it is smaller than the sum of its proper divisors (2711088396688).

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

2121022120112 is a wasteful number, since it uses less digits than its factorization.

2121022120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017294 (or 2017288 counting only the distinct ones).

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

Adding to 2121022120112 its reverse (2110212201212), we get a palindrome (4231234321324).

The spelling of 2121022120112 in words is "two trillion, one hundred twenty-one billion, twenty-two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 229 287 328 458 574 656 916 1148 1603 1832 2296 3206 3664 4592 6412 9389 12824 18778 25648 37556 65723 75112 131446 150224 262892 525784 1051568 2017009 4034018 8068036 14119063 16136072 28238126 32272144 56476252 82697369 112952504 165394738 225905008 330789476 461895061 578881583 661578952 923790122 1157763166 1323157904 1847580244 2315526332 3233265427 3695160488 4631052664 6466530854 7390320976 9262105328 12933061708 18937697501 25866123416 37875395002 51732246832 75750790004 132563882507 151501580008 265127765014 303003160016 530255530028 1060511060056 2121022120112