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12670191072 = 253572113023
BaseRepresentation
bin10111100110011001…
…11100010111100000
31012201000012101200000
423303030330113200
5201422032103242
65453130100000
7625656563400
oct136314742740
935630171600
1012670191072
115411aa10a0
12255727a600
13126bc67ba6
14882a36800
154e2505a4c
hex2f333c5e0

12670191072 has 432 divisors, whose sum is σ = 47432915712. Its totient is φ = 3289870080.

The previous prime is 12670191067. The next prime is 12670191143. The reversal of 12670191072 is 27019107621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4189753 + ... + 4192775.

It is an arithmetic number, because the mean of its divisors is an integer number (109798416).

Almost surely, 212670191072 is an apocalyptic number.

12670191072 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 12670191072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23716457856).

12670191072 is an abundant number, since it is smaller than the sum of its proper divisors (34762724640).

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

12670191072 is a wasteful number, since it uses less digits than its factorization.

12670191072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

Adding to 12670191072 its reverse (27019107621), we get a palindrome (39689298693).

The spelling of 12670191072 in words is "twelve billion, six hundred seventy million, one hundred ninety-one thousand, seventy-two".