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12212969472 = 21332112372
BaseRepresentation
bin10110101111111001…
…10010000000000000
31011112010212010112200
423113330302000000
5200003010010342
65335514153200
7611435345664
oct132774620000
934463763480
1012212969472
1151a79a2800
12244a122800
1311c8310172
1483c0188a4
154b72dc94c
hex2d7f32000

12212969472 has 378 divisors, whose sum is σ = 39854973249. Its totient is φ = 3600875520.

The previous prime is 12212969471. The next prime is 12212969501. The reversal of 12212969472 is 27496921221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 9853341696 + 2359627776 = 99264^2 + 48576^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78144.

Its product of digits (217728) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (12212969471) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 330080238 + ... + 330080274.

Almost surely, 212212969472 is an apocalyptic number.

12212969472 is a gapful number since it is divisible by the number (12) 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 12212969472

12212969472 is an abundant number, since it is smaller than the sum of its proper divisors (27642003777).

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

12212969472 is an equidigital number, since it uses as much as digits as its factorization.

12212969472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 53 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 12212969472 in words is "twelve billion, two hundred twelve million, nine hundred sixty-nine thousand, four hundred seventy-two".