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12232080000 = 2733547809
BaseRepresentation
bin10110110010001011…
…01011101010000000
31011120110211001021000
423121011223222000
5200022403030000
65341435532000
7612056651550
oct133105535200
934513731230
1012232080000
115207765828
1224545ba000
1311cc27177a
14840791160
154b8d15000
hex2d916ba80

12232080000 has 640 divisors, whose sum is σ = 51620976000. Its totient is φ = 2792448000.

The previous prime is 12232079999. The next prime is 12232080001. The reversal of 12232080000 is 8023221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12232079999) and next prime (12232080001).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×122320800002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12232080001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15119596 + ... + 15120404.

It is an arithmetic number, because the mean of its divisors is an integer number (80657775).

Almost surely, 212232080000 is an apocalyptic number.

12232080000 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 12232080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25810488000).

12232080000 is an abundant number, since it is smaller than the sum of its proper divisors (39388896000).

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

12232080000 is an frugal number, since it uses more digits than its factorization.

12232080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 12232080000 in words is "twelve billion, two hundred thirty-two million, eighty thousand".