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121214123331 = 37228314292039
BaseRepresentation
bin111000011100011101…
…1001011110101000011
3102120212121202110121020
41300320323023311003
53441221303421311
6131403543200523
711520541022400
oct1607073136503
9376777673536
10121214123331
1147452237a34
121b5aa446143
13b5798b5142
145c1c6b12a7
153246880c06
hex1c38ecbd43

121214123331 has 48 divisors (see below), whose sum is σ = 188894534400. Its totient is φ = 68938333632.

The previous prime is 121214123297. The next prime is 121214123363. The reversal of 121214123331 is 133321412121.

It is not a de Polignac number, because 121214123331 - 211 = 121214121283 is a prime.

It is a super-2 number, since 2×1212141233312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121214123531) 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, 59446810 + ... + 59448848.

It is an arithmetic number, because the mean of its divisors is an integer number (3935302800).

Almost surely, 2121214123331 is an apocalyptic number.

121214123331 is a deficient number, since it is larger than the sum of its proper divisors (67680411069).

121214123331 is a wasteful number, since it uses less digits than its factorization.

121214123331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768 (or 3761 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 121214123331 its reverse (133321412121), we get a palindrome (254535535452).

The spelling of 121214123331 in words is "one hundred twenty-one billion, two hundred fourteen million, one hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 21 49 147 283 849 1429 1981 2039 4287 5943 6117 10003 13867 14273 30009 41601 42819 70021 99911 210063 299733 404407 577037 1213221 1731111 2830849 2913731 4039259 8492547 8741193 12117777 19815943 20396117 28274813 59447829 61188351 84824439 142772819 428318457 824585873 2473757619 5772101111 17316303333 40404707777 121214123331