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12332291472480 = 2535723159579341
BaseRepresentation
bin1011001101110101010111…
…0110100011110001100000
31121122221210121002220012210
42303131111312203301200
53104023013104104410
642121213153322120
72411656451640450
oct263352566436140
947587717086183
1012332291472480
113a25106041341
1214720b7566340
136b5c12561155
14308c59617d60
15165bd0493220
hexb3755da3c60

12332291472480 has 192 divisors, whose sum is σ = 46326521299968. Its totient is φ = 2696252528640.

The previous prime is 12332291472469. The next prime is 12332291472497. The reversal of 12332291472480 is 8427419223321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79712391 + ... + 79866950.

It is an arithmetic number, because the mean of its divisors is an integer number (241283965104).

Almost surely, 212332291472480 is an apocalyptic number.

12332291472480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12332291472480 is an abundant number, since it is smaller than the sum of its proper divisors (33994229827488).

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

12332291472480 is a wasteful number, since it uses less digits than its factorization.

12332291472480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159579389 (or 159579381 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 12332291472480 in words is "twelve trillion, three hundred thirty-two billion, two hundred ninety-one million, four hundred seventy-two thousand, four hundred eighty".