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121212111213 = 321710161712713
BaseRepresentation
bin111000011100011001…
…1100000100101101101
3102120212110222020111100
41300320303200211231
53441220300024323
6131403432113313
711520514642224
oct1607063404555
9376773866440
10121212111213
1147451093226
121b5a9835839
13b57935c33b
145c1c309cbb
1532465d4943
hex1c38ce096d

121212111213 has 48 divisors (see below), whose sum is σ = 187536890736. Its totient is φ = 75173683200.

The previous prime is 121212111169. The next prime is 121212111227. The reversal of 121212111213 is 312111212121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19321556004 + 101890555209 = 139002^2 + 319203^2 .

It is not a de Polignac number, because 121212111213 - 224 = 121195333997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121212111283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9528145 + ... + 9540857.

It is an arithmetic number, because the mean of its divisors is an integer number (3907018557).

Almost surely, 2121212111213 is an apocalyptic number.

It is an amenable number.

121212111213 is a deficient number, since it is larger than the sum of its proper divisors (66324779523).

121212111213 is a wasteful number, since it uses less digits than its factorization.

121212111213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13454 (or 13451 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 121212111213 its reverse (312111212121), we get a palindrome (433323323334).

The spelling of 121212111213 in words is "one hundred twenty-one billion, two hundred twelve million, one hundred eleven thousand, two hundred thirteen".

Divisors: 1 3 9 17 51 101 153 303 617 909 1717 1851 5151 5553 10489 12713 15453 31467 38139 62317 94401 114417 186951 216121 560853 648363 1059389 1284013 1945089 3178167 3852039 7843921 9534501 11556117 21828221 23531763 65484663 70595289 133346657 196453989 400039971 792236021 1200119913 2376708063 7130124189 13468012357 40404037071 121212111213