Search a number
-
+
121120001122001 = 71710148132093783
BaseRepresentation
bin11011100010100001110010…
…101001000101111011010001
3120212211221220010111002000112
4123202201302221011323101
5111333412230241401001
61105333432123531105
734340426352510560
oct3342416251057321
9525757803432015
10121120001122001
11356577820501a2
1211701a4b389a95
13527774abb347b
1421ca34ca31bd7
15e00920ee4cbb
hex6e2872a45ed1

121120001122001 has 32 divisors (see below), whose sum is σ = 148047346073088. Its totient is φ = 96722678246400.

The previous prime is 121120001121947. The next prime is 121120001122093. The reversal of 121120001122001 is 100221100021121.

It is a cyclic number.

It is not a de Polignac number, because 121120001122001 - 226 = 121119934013137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121120001122501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56800556 + ... + 58894338.

It is an arithmetic number, because the mean of its divisors is an integer number (4626479564784).

Almost surely, 2121120001122001 is an apocalyptic number.

It is an amenable number.

121120001122001 is a deficient number, since it is larger than the sum of its proper divisors (26927344951087).

121120001122001 is a wasteful number, since it uses less digits than its factorization.

121120001122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098721.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121120001122001 its reverse (100221100021121), we get a palindrome (221341101143122).

The spelling of 121120001122001 in words is "one hundred twenty-one trillion, one hundred twenty billion, one million, one hundred twenty-two thousand, one".

Divisors: 1 7 17 101 119 707 1717 4813 12019 33691 81821 486113 572747 2093783 3402791 8263921 14656481 35594311 57847447 211472083 249160177 1480304581 3595025411 10077377579 25165177877 70541643053 171315418843 1017815135479 1199207931901 7124705948353 17302857303143 121120001122001