Search a number
-
+
121111121201 = 7199727119591
BaseRepresentation
bin111000011001011001…
…0010000110100110001
3102120121102221102020112
41300302302100310301
53441013421334301
6131345423351105
711515150354550
oct1606262206461
9376542842215
10121111121201
11473aa085a04
121b57ba52495
13b561460035
145c0cb3bd97
15323c7d69bb
hex1c32c90d31

121111121201 has 16 divisors (see below), whose sum is σ = 139300761600. Its totient is φ = 103144939920.

The previous prime is 121111121171. The next prime is 121111121213. The reversal of 121111121201 is 102121111121.

It is a cyclic number.

It is not a de Polignac number, because 121111121201 - 214 = 121111104817 is a prime.

It is a super-4 number, since 4×1211111212014 (a number of 45 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (121111121281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952916 + ... + 1072506.

It is an arithmetic number, because the mean of its divisors is an integer number (8706297600).

Almost surely, 2121111121201 is an apocalyptic number.

It is an amenable number.

121111121201 is a deficient number, since it is larger than the sum of its proper divisors (18189640399).

121111121201 is a wasteful number, since it uses less digits than its factorization.

121111121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120524.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 121111121201 its reverse (102121111121), we get a palindrome (223232232322).

The spelling of 121111121201 in words is "one hundred twenty-one billion, one hundred eleven million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 7 199 727 1393 5089 119591 144673 837137 1012711 23798609 86942657 166590263 608598599 17301588743 121111121201