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12031112242144 = 251722116015151
BaseRepresentation
bin1010111100010011011000…
…1010111110001111100000
31120121011101220020202120001
42233010312022332033200
53034104204213222034
641331003333225344
72351135114502562
oct257046612761740
946534356222501
1012031112242144
113919403234916
121423863192254
136936b5330918
142d8447a31332
1515ce544eca14
hexaf1362be3e0

12031112242144 has 24 divisors (see below), whose sum is σ = 25079561182368. Its totient is φ = 5661699878400.

The previous prime is 12031112242129. The next prime is 12031112242153. The reversal of 12031112242144 is 44124221113021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11058007032 + ... + 11058008119.

It is an arithmetic number, because the mean of its divisors is an integer number (1044981715932).

Almost surely, 212031112242144 is an apocalyptic number.

It is an amenable number.

12031112242144 is an abundant number, since it is smaller than the sum of its proper divisors (13048448940224).

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

12031112242144 is a wasteful number, since it uses less digits than its factorization.

12031112242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22116015178 (or 22116015170 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 12031112242144 its reverse (44124221113021), we get a palindrome (56155333355165).

The spelling of 12031112242144 in words is "twelve trillion, thirty-one billion, one hundred twelve million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 22116015151 44232030302 88464060604 176928121208 353856242416 375972257567 707712484832 751944515134 1503889030268 3007778060536 6015556121072 12031112242144