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12193312320 = 26375719131
BaseRepresentation
bin10110101101100011…
…10010111001000000
31011110202212110000000
423112301302321000
5144432441443240
65333533000000
7611106305340
oct132661627100
934422773000
1012193312320
115197897022
122443623000
1311c4219b07
1483957cd20
154b5708430
hex2d6c72e40

12193312320 has 896 divisors, whose sum is σ = 52786483200. Its totient is φ = 2620200960.

The previous prime is 12193312273. The next prime is 12193312321. The reversal of 12193312320 is 2321339121.

12193312320 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 331 + 2 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12193312321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93078655 + ... + 93078785.

Almost surely, 212193312320 is an apocalyptic number.

12193312320 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 12193312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26393241600).

12193312320 is an abundant number, since it is smaller than the sum of its proper divisors (40593170880).

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

12193312320 is an equidigital number, since it uses as much as digits as its factorization.

12193312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 12193312320 in words is "twelve billion, one hundred ninety-three million, three hundred twelve thousand, three hundred twenty".