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12232721280 = 27351317127227
BaseRepresentation
bin10110110010010000…
…01000001110000000
31011120112000121221010
423121020020032000
5200023034040110
65341501400520
7612065262303
oct133110101600
934515017833
1012232721280
11520806360a
122454869140
1311cc437620
148408bab3a
154b8de0020
hex2d9208380

12232721280 has 512 divisors, whose sum is σ = 45008732160. Its totient is φ = 2799304704.

The previous prime is 12232721269. The next prime is 12232721321. The reversal of 12232721280 is 8212723221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53888527 + ... + 53888753.

It is an arithmetic number, because the mean of its divisors is an integer number (87907680).

Almost surely, 212232721280 is an apocalyptic number.

12232721280 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 12232721280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22504366080).

12232721280 is an abundant number, since it is smaller than the sum of its proper divisors (32776010880).

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

12232721280 is a wasteful number, since it uses less digits than its factorization.

12232721280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 12232721280 in words is "twelve billion, two hundred thirty-two million, seven hundred twenty-one thousand, two hundred eighty".