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121120265028 = 223710983915767
BaseRepresentation
bin111000011001101010…
…1001001001101000100
3102120122002010222012210
41300303111021031010
53441023241440103
6131350351343420
711515321160130
oct1606325111504
9376562128183
10121120265028
1147404260894
121b582b21b70
13b563311c99
145c1003c3c0
15323d4e0e03
hex1c33549344

121120265028 has 96 divisors (see below), whose sum is σ = 326359756800. Its totient is φ = 34245265536.

The previous prime is 121120265011. The next prime is 121120265033. The reversal of 121120265028 is 820562021121.

It is a junction number, because it is equal to n+sod(n) for n = 121120264986 and 121120265004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7674001 + ... + 7689767.

It is an arithmetic number, because the mean of its divisors is an integer number (3399580800).

Almost surely, 2121120265028 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 121120265028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163179878400).

121120265028 is an abundant number, since it is smaller than the sum of its proper divisors (205239491772).

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

121120265028 is a wasteful number, since it uses less digits than its factorization.

121120265028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16729 (or 16727 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 121120265028 its reverse (820562021121), we get a palindrome (941682286149).

The spelling of 121120265028 in words is "one hundred twenty-one billion, one hundred twenty million, two hundred sixty-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 109 218 327 436 654 763 839 1308 1526 1678 2289 2517 3052 3356 4578 5034 5873 9156 10068 11746 15767 17619 23492 31534 35238 47301 63068 70476 91451 94602 110369 182902 189204 220738 274353 331107 365804 441476 548706 640157 662214 1097412 1280314 1324428 1718603 1920471 2560628 3437206 3840942 5155809 6874412 7681884 10311618 12030221 13228513 20623236 24060442 26457026 36090663 39685539 48120884 52914052 72181326 79371078 92599591 144362652 158742156 185199182 277798773 370398364 555597546 1111195092 1441907917 2883815834 4325723751 5767631668 8651447502 10093355419 17302895004 20186710838 30280066257 40373421676 60560132514 121120265028