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12232203046560 = 25335717832831013
BaseRepresentation
bin1011001000000000100000…
…0111100000111010100000
31121022101110021002001102000
42302000020013200322200
53100403022434442220
642003221351124000
72401514252233440
oct262001007407240
947271407061360
1012232203046560
1139967147aa572
121456824073600
136a96516310a3
1430408293a120
151632c35dd390
hexb20081e0ea0

12232203046560 has 1536 divisors, whose sum is σ = 52668368363520. Its totient is φ = 2588017360896.

The previous prime is 12232203046523. The next prime is 12232203046571. The reversal of 12232203046560 is 6564030223221.

12232203046560 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 2 + 20 + 30 + 46 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12075224614 + ... + 12075225626.

It is an arithmetic number, because the mean of its divisors is an integer number (34289302320).

Almost surely, 212232203046560 is an apocalyptic number.

12232203046560 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 12232203046560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26334184181760).

12232203046560 is an abundant number, since it is smaller than the sum of its proper divisors (40436165316960).

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

12232203046560 is a wasteful number, since it uses less digits than its factorization.

12232203046560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 12232203046560 its reverse (6564030223221), we get a palindrome (18796233269781).

The spelling of 12232203046560 in words is "twelve trillion, two hundred thirty-two billion, two hundred three million, forty-six thousand, five hundred sixty".