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121162718368 = 2537214147797
BaseRepresentation
bin111000011010111011…
…1000101110010100000
3102120202001000211020201
41300311313011302200
53441120123441433
6131354505314544
711516345053606
oct1606567056240
9376661024221
10121162718368
114742621769a
121b595195a54
13b56c0573c3
145c1592d876
1532420c9a7d
hex1c35dc5ca0

121162718368 has 48 divisors (see below), whose sum is σ = 245105658504. Its totient is φ = 58915261440.

The previous prime is 121162718351. The next prime is 121162718377. The reversal of 121162718368 is 863817261121.

It can be written as a sum of positive squares in 4 ways, for example, as 119763060624 + 1399657744 = 346068^2 + 37412^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2511046 + ... + 2558842.

Almost surely, 2121162718368 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 121162718368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122552829252).

121162718368 is an abundant number, since it is smaller than the sum of its proper divisors (123942940136).

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

121162718368 is a wasteful number, since it uses less digits than its factorization.

121162718368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49985 (or 49977 counting only the distinct ones).

The product of its digits is 193536, while the sum is 46.

Adding to 121162718368 its reverse (863817261121), we get a palindrome (984979979489).

The spelling of 121162718368 in words is "one hundred twenty-one billion, one hundred sixty-two million, seven hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 2141 4282 8564 17128 34256 47797 68512 79217 95594 158434 191188 316868 382376 633736 764752 1267472 1529504 1768489 2534944 3536978 7073956 14147912 28295824 56591648 102333377 204666754 409333508 818667016 1637334032 3274668064 3786334949 7572669898 15145339796 30290679592 60581359184 121162718368