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121322413001232 = 24325050331668241
BaseRepresentation
bin11011100101011110010011…
…010101001000101000010000
3120220120022100120010220211100
4123211132103111020220100
5111400221300212014412
61110010425212544400
734361153331215502
oct3345362325105020
9526508316126740
10121322413001232
11357256012a7a13
121173511a782100
135290867aba301
1421d6071185d72
15e05d1b089edc
hex6e5793548a10

121322413001232 has 60 divisors (see below), whose sum is σ = 339535128881884. Its totient is φ = 40440700016640.

The previous prime is 121322413001191. The next prime is 121322413001269. The reversal of 121322413001232 is 232100314223121.

121322413001232 is a `hidden beast` number, since 1 + 2 + 1 + 322 + 4 + 1 + 300 + 1 + 2 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114394062506256 + 6928350494976 = 10695516^2 + 2632176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121322413001196 and 121322413001205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71890632 + ... + 73558872.

Almost surely, 2121322413001232 is an apocalyptic number.

121322413001232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121322413001232 is an abundant number, since it is smaller than the sum of its proper divisors (218212715880652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121322413001232 is a wasteful number, since it uses less digits than its factorization.

121322413001232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173288 (or 2173279 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 121322413001232 its reverse (232100314223121), we get a palindrome (353422727224353).

The spelling of 121322413001232 in words is "one hundred twenty-one trillion, three hundred twenty-two billion, four hundred thirteen million, one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 505033 1010066 1515099 1668241 2020132 3030198 3336482 4040264 4545297 5004723 6060396 6672964 8080528 9090594 10009446 12120792 13345928 15014169 18181188 20018892 24241584 26691856 30028338 36362376 40037784 60056676 72724752 80075568 120113352 240226704 842516756953 1685033513906 2527550270859 3370067027812 5055100541718 6740134055624 7582650812577 10110201083436 13480268111248 15165301625154 20220402166872 30330603250308 40440804333744 60661206500616 121322413001232