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12248127396 = 223319431271093
BaseRepresentation
bin10110110100000101…
…11001011110100100
31011121121000100011000
423122002321132210
5200041010034041
65343211513300
7612343236141
oct133202713644
934547010130
1012248127396
11521582643a
122459a58830
13120269ca7b
1484296b3c8
154ba434bb6
hex2da0b97a4

12248127396 has 192 divisors, whose sum is σ = 34503884800. Its totient is φ = 3744703872.

The previous prime is 12248127277. The next prime is 12248127407. The reversal of 12248127396 is 69372184221.

12248127396 is a `hidden beast` number, since 1 + 2 + 248 + 12 + 7 + 396 = 666.

12248127396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11205426 + ... + 11206518.

Almost surely, 212248127396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12248127396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17251942400).

12248127396 is an abundant number, since it is smaller than the sum of its proper divisors (22255757404).

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

12248127396 is a wasteful number, since it uses less digits than its factorization.

12248127396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1287 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 12248127396 in words is "twelve billion, two hundred forty-eight million, one hundred twenty-seven thousand, three hundred ninety-six".