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12232056240 = 243551737013
BaseRepresentation
bin10110110010001011…
…00101110110110000
31011120110202211200000
423121011211312300
5200022401244430
65341435230000
7612056522355
oct133105456660
934513684600
1012232056240
115207749998
1224545a8300
1311cc263a01
1484078662c
154b8d0ce60
hex2d9165db0

12232056240 has 240 divisors, whose sum is σ = 45107925408. Its totient is φ = 3069923328.

The previous prime is 12232056209. The next prime is 12232056253. The reversal of 12232056240 is 4265023221.

It is a happy number.

12232056240 is a `hidden beast` number, since 1 + 2 + 2 + 32 + 0 + 5 + 624 + 0 = 666.

12232056240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311974 + ... + 348986.

Almost surely, 212232056240 is an apocalyptic number.

12232056240 is a gapful number since it is divisible by the number (10) 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 12232056240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22553962704).

12232056240 is an abundant number, since it is smaller than the sum of its proper divisors (32875869168).

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

12232056240 is a wasteful number, since it uses less digits than its factorization.

12232056240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37058 (or 37040 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12232056240 its reverse (4265023221), we get a palindrome (16497079461).

The spelling of 12232056240 in words is "twelve billion, two hundred thirty-two million, fifty-six thousand, two hundred forty".