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12329199599616 = 220361272
BaseRepresentation
bin1011001101101001110110…
…0100000000000000000000
31121122122211010012111000000
42303122131210000000000
53104000200044141431
642115542304000000
72411520026312034
oct263323544000000
947578733174000
1012329199599616
113a23869830509
121471594000000
136b583bb20393
14308a44b381c4
15165a9dd029e6
hexb369d900000

12329199599616 has 441 divisors, whose sum is σ = 37264068501051. Its totient is φ = 4077373095936.

The previous prime is 12329199599597. The next prime is 12329199599699. The reversal of 12329199599616 is 61699599192321.

The square root of 12329199599616 is 3511296.

It is a perfect power (a square), and thus also a powerful number.

12329199599616 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 9 + 19 + 9 + 599 + 6 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 97080311745 + ... + 97080311871.

Almost surely, 212329199599616 is an apocalyptic number.

12329199599616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12329199599616 is the 3511296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12329199599616

12329199599616 is an abundant number, since it is smaller than the sum of its proper divisors (24934868901435).

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

12329199599616 is an frugal number, since it uses more digits than its factorization.

12329199599616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 132 counting only the distinct ones).

The product of its digits is 127545840, while the sum is 72.

The spelling of 12329199599616 in words is "twelve trillion, three hundred twenty-nine billion, one hundred ninety-nine million, five hundred ninety-nine thousand, six hundred sixteen".