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12001231110331 = 194767200585501
BaseRepresentation
bin1010111010100100000100…
…0111100000000010111011
31120111022021102121222200101
42232221001013200002323
53033112010131012311
641305142305020231
72346026460202321
oct256510107400273
946438242558611
1012001231110331
11390776a0aa261
121419b04024677
13690932787538
142d6c112c9d11
1515c2a6053ec1
hexaea411e00bb

12001231110331 has 16 divisors (see below), whose sum is σ = 13094221570560. Its totient is φ = 10961596404000.

The previous prime is 12001231110329. The next prime is 12001231110347. The reversal of 12001231110331 is 13301113210021.

It is a cyclic number.

It is not a de Polignac number, because 12001231110331 - 21 = 12001231110329 is a prime.

It is a super-2 number, since 2×120012311103312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12001231110299 and 12001231110308.

It is not an unprimeable number, because it can be changed into a prime (12001231110301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100232920 + ... + 100352581.

It is an arithmetic number, because the mean of its divisors is an integer number (818388848160).

Almost surely, 212001231110331 is an apocalyptic number.

12001231110331 is a deficient number, since it is larger than the sum of its proper divisors (1092990460229).

12001231110331 is a wasteful number, since it uses less digits than its factorization.

12001231110331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200585634.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 12001231110331 its reverse (13301113210021), we get a palindrome (25302344320352).

The spelling of 12001231110331 in words is "twelve trillion, one billion, two hundred thirty-one million, one hundred ten thousand, three hundred thirty-one".

Divisors: 1 19 47 67 893 1273 3149 59831 200585501 3811124519 9427518547 13439228567 179122852393 255345342773 631643742649 12001231110331