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12601248804 = 2232379460397
BaseRepresentation
bin10111011110001011…
…11100110000100100
31012112012110202122200
423233011330300210
5201301404430204
65442224254500
7624161563464
oct135705746044
935465422580
1012601248804
115387092811
122538171430
13125a8a9951
1487780bba4
154db438539
hex2ef17cc24

12601248804 has 36 divisors (see below), whose sum is σ = 32714056284. Its totient is φ = 4086891072.

The previous prime is 12601248797. The next prime is 12601248811. The reversal of 12601248804 is 40884210621.

12601248804 is a `hidden beast` number, since 1 + 2 + 601 + 2 + 48 + 8 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12601248797) and next prime (12601248811).

It can be written as a sum of positive squares in 2 ways, for example, as 7473256704 + 5127992100 = 86448^2 + 71610^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×126012488042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4728867 + ... + 4731530.

Almost surely, 212601248804 is an apocalyptic number.

It is an amenable number.

12601248804 is an abundant number, since it is smaller than the sum of its proper divisors (20112807480).

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

12601248804 is a wasteful number, since it uses less digits than its factorization.

12601248804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9460444 (or 9460439 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 12601248804 in words is "twelve billion, six hundred one million, two hundred forty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 9460397 18920794 28381191 37841588 56762382 85143573 113524764 170287146 340574292 350034689 700069378 1050104067 1400138756 2100208134 3150312201 4200416268 6300624402 12601248804