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12126455432640 = 2632537113799319
BaseRepresentation
bin1011000001110110100100…
…0100011000010111000000
31120221021111112021200002200
42300131221010120113000
53042134440042321030
641442452224513200
72361051604320153
oct260355104302700
946837445250080
1012126455432640
113955889a5701a
12143a23147b800
1369c69b122383
142dccd0407c9a
151606849c1d60
hexb07691185c0

12126455432640 has 168 divisors, whose sum is σ = 42837250428960. Its totient is φ = 3146323544064.

The previous prime is 12126455432639. The next prime is 12126455432653. The reversal of 12126455432640 is 4623455462121.

It is a happy number.

12126455432640 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 6 + 4 + 554 + 32 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 56793100 + ... + 57006219.

Almost surely, 212126455432640 is an apocalyptic number.

12126455432640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12126455432640 is an abundant number, since it is smaller than the sum of its proper divisors (30710794996320).

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

12126455432640 is a wasteful number, since it uses less digits than its factorization.

12126455432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113799379 (or 113799366 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 12126455432640 in words is "twelve trillion, one hundred twenty-six billion, four hundred fifty-five million, four hundred thirty-two thousand, six hundred forty".