Search a number
-
+
121020001312 = 257854363241
BaseRepresentation
bin111000010110101011…
…0101010110000100000
3102120101002111001020211
41300231112222300200
53440322110020222
6131332410343504
711512663016110
oct1605526526040
9376332431224
10121020001312
11473626aa211
121b55542ab94
13b548608442
145c009bd040
1532347d8277
hex1c2d5aac20

121020001312 has 48 divisors (see below), whose sum is σ = 272331182592. Its totient is φ = 51858823680.

The previous prime is 121020001273. The next prime is 121020001321. The reversal of 121020001312 is 213100020121.

It is a junction number, because it is equal to n+sod(n) for n = 121020001292 and 121020001301.

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, 1882012 + ... + 1945252.

It is an arithmetic number, because the mean of its divisors is an integer number (5673566304).

Almost surely, 2121020001312 is an apocalyptic number.

It is an amenable number.

121020001312 is an abundant number, since it is smaller than the sum of its proper divisors (151311181280).

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

121020001312 is an equidigital number, since it uses as much as digits as its factorization.

121020001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71801 (or 71793 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 121020001312 its reverse (213100020121), we get a palindrome (334120021433).

The spelling of 121020001312 in words is "one hundred twenty-one billion, twenty million, one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 8543 17086 34172 59801 63241 68344 119602 126482 136688 239204 252964 273376 442687 478408 505928 885374 956816 1011856 1770748 1913632 2023712 3541496 7082992 14165984 540267863 1080535726 2161071452 3781875041 4322142904 7563750082 8644285808 15127500164 17288571616 30255000328 60510000656 121020001312