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12132320646600 = 23325271110128581
BaseRepresentation
bin1011000010001100011010…
…1010011001010111001000
31120221211122021201102002100
42300203012222121113020
53042233443041142400
641445302224433400
72361350133652260
oct260430652312710
946854567642070
1012132320646600
113958319797090
12143b3a9778860
136a00c42b808b
142dd2c936c7a0
151608c9883100
hexb08c6a995c8

12132320646600 has 864 divisors, whose sum is σ = 51312095190720. Its totient is φ = 2495750400000.

The previous prime is 12132320646599. The next prime is 12132320646601. The reversal of 12132320646600 is 664602323121.

12132320646600 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 2 + 3 + 2 + 0 + 6 + 46 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (12132320646599) and next prime (12132320646601).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12132320646601) 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 215 ways as a sum of consecutive naturals, for example, 1413854310 + ... + 1413862890.

Almost surely, 212132320646600 is an apocalyptic number.

12132320646600 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 12132320646600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25656047595360).

12132320646600 is an abundant number, since it is smaller than the sum of its proper divisors (39179774544120).

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

12132320646600 is a wasteful number, since it uses less digits than its factorization.

12132320646600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8823 (or 8710 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 12132320646600 its reverse (664602323121), we get a palindrome (12796922969721).

The spelling of 12132320646600 in words is "twelve trillion, one hundred thirty-two billion, three hundred twenty million, six hundred forty-six thousand, six hundred".