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121221023424 = 2634334942071
BaseRepresentation
bin111000011100101010…
…1100000011011000000
3102120220002202000202020
41300321111200123000
53441230040222144
6131404351121440
711520653461314
oct1607125403300
9376802660666
10121221023424
1147456120096
121b5b0813280
13b57b15ca37
145c1d589b44
153247295419
hex1c395606c0

121221023424 has 112 divisors (see below), whose sum is σ = 329137670400. Its totient is φ = 39353287680.

The previous prime is 121221023393. The next prime is 121221023459. The reversal of 121221023424 is 424320122121.

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

It is a junction number, because it is equal to n+sod(n) for n = 121221023394 and 121221023403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2860309 + ... + 2902379.

It is an arithmetic number, because the mean of its divisors is an integer number (2938729200).

Almost surely, 2121221023424 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 121221023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164568835200).

121221023424 is an abundant number, since it is smaller than the sum of its proper divisors (207916646976).

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

121221023424 is a wasteful number, since it uses less digits than its factorization.

121221023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42478 (or 42468 counting only the distinct ones).

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

Adding to 121221023424 its reverse (424320122121), we get a palindrome (545541145545).

The spelling of 121221023424 in words is "one hundred twenty-one billion, two hundred twenty-one million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 349 516 688 698 1032 1047 1376 1396 2064 2094 2752 2792 4128 4188 5584 8256 8376 11168 15007 16752 22336 30014 33504 42071 45021 60028 67008 84142 90042 120056 126213 168284 180084 240112 252426 336568 360168 480224 504852 673136 720336 960448 1009704 1346272 1440672 1809053 2019408 2692544 2881344 3618106 4038816 5427159 7236212 8077632 10854318 14472424 14682779 21708636 28944848 29365558 43417272 44048337 57889696 58731116 86834544 88096674 115779392 117462232 173669088 176193348 234924464 347338176 352386696 469848928 631359497 704773392 939697856 1262718994 1409546784 1894078491 2525437988 2819093568 3788156982 5050875976 7576313964 10101751952 15152627928 20203503904 30305255856 40407007808 60610511712 121221023424