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12061304830344 = 233711171139193697
BaseRepresentation
bin1010111110000011110111…
…0010100011100110001000
31120201001100001221011021110
42233200331302203212020
53040103023014032334
641352515325210320
72353254243326220
oct257407562434610
946631301834243
1012061304830344
113930197159250
12142968a7009a0
136964b7586523
142d9aad88d080
1515db1eeb9ae9
hexaf83dca3988

12061304830344 has 512 divisors, whose sum is σ = 40211898163200. Its totient is φ = 2918460948480.

The previous prime is 12061304830331. The next prime is 12061304830369. The reversal of 12061304830344 is 44303840316021.

12061304830344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3262455504 + ... + 3262459200.

It is an arithmetic number, because the mean of its divisors is an integer number (78538863600).

Almost surely, 212061304830344 is an apocalyptic number.

12061304830344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12061304830344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20105949081600).

12061304830344 is an abundant number, since it is smaller than the sum of its proper divisors (28150593332856).

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

12061304830344 is a wasteful number, since it uses less digits than its factorization.

12061304830344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4773 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 12061304830344 in words is "twelve trillion, sixty-one billion, three hundred four million, eight hundred thirty thousand, three hundred forty-four".