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12273048380880 = 243357331534371
BaseRepresentation
bin1011001010011000101010…
…1100000110010111010000
31121110021212211210000121000
42302212022230012113100
53102040200341142010
642034054404302000
72404461402654000
oct262461254062720
947407784700530
1012273048380880
113a01a74942811
1214627230a1900
136b046087a071
143060394b4000
151643b44047c0
hexb298ab065d0

12273048380880 has 640 divisors, whose sum is σ = 50889314304000. Its totient is φ = 2714770598400.

The previous prime is 12273048380837. The next prime is 12273048380881. The reversal of 12273048380880 is 8808384037221.

12273048380880 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 3 + 0 + 483 + 80 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12273048380881) 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 127 ways as a sum of consecutive naturals, for example, 22700095 + ... + 23234465.

It is an arithmetic number, because the mean of its divisors is an integer number (79514553600).

Almost surely, 212273048380880 is an apocalyptic number.

12273048380880 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 12273048380880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25444657152000).

12273048380880 is an abundant number, since it is smaller than the sum of its proper divisors (38616265923120).

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

12273048380880 is a wasteful number, since it uses less digits than its factorization.

12273048380880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534445 (or 534419 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 12273048380880 in words is "twelve trillion, two hundred seventy-three billion, forty-eight million, three hundred eighty thousand, eight hundred eighty".