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121132121201 = 7138323967103
BaseRepresentation
bin111000011010000001…
…0010111110001110001
3102120122220110022211022
41300310002113301301
53441034310334301
6131351453425225
711515524020210
oct1606402276161
9376586408738
10121132121201
114740aa19583
121b586a9b215
13b565903680
145c11847077
15323e583d1b
hex1c34097c71

121132121201 has 32 divisors (see below), whose sum is σ = 151515463680. Its totient is φ = 94288509504.

The previous prime is 121132121197. The next prime is 121132121207. The reversal of 121132121201 is 102121231121.

It is a happy number.

It is not a de Polignac number, because 121132121201 - 22 = 121132121197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121132121201.

It is not an unprimeable number, because it can be changed into a prime (121132121207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1771616 + ... + 1838718.

It is an arithmetic number, because the mean of its divisors is an integer number (4734858240).

Almost surely, 2121132121201 is an apocalyptic number.

It is an amenable number.

121132121201 is a deficient number, since it is larger than the sum of its proper divisors (30383342479).

121132121201 is a wasteful number, since it uses less digits than its factorization.

121132121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67445.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 121132121201 its reverse (102121231121), we get a palindrome (223253352322).

The spelling of 121132121201 in words is "one hundred twenty-one billion, one hundred thirty-two million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 7 13 83 91 239 581 1079 1673 3107 7553 19837 21749 67103 138859 257881 469721 872339 1805167 5569549 6106373 16037617 38986843 72404137 112263319 208489021 506828959 1331122211 1459423147 9317855477 17304588743 121132121201