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12020215616136 = 23347133735315607
BaseRepresentation
bin1010111011101010110010…
…1011101001001010001000
31120120010021111022210210000
42232322230223221022020
53033414400144204021
641322002200523000
72350301101633620
oct256725453511210
946503244283700
1012020215616136
113914821392482
121421721a80460
1369266995b720
142d7ad278d880
1515ca17a7cb26
hexaeeacae9288

12020215616136 has 640 divisors, whose sum is σ = 42680428116480. Its totient is φ = 3075551576064.

The previous prime is 12020215616131. The next prime is 12020215616137. The reversal of 12020215616136 is 63161651202021.

12020215616136 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 0 + 2 + 1 + 5 + 616 + 1 + 36 = 666.

12020215616136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12020215616136.

It is not an unprimeable number, because it can be changed into a prime (12020215616131) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 770173245 + ... + 770188851.

It is an arithmetic number, because the mean of its divisors is an integer number (66688168932).

Almost surely, 212020215616136 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 12020215616136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21340214058240).

12020215616136 is an abundant number, since it is smaller than the sum of its proper divisors (30660212500344).

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

12020215616136 is a wasteful number, since it uses less digits than its factorization.

12020215616136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16035 (or 16022 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 12020215616136 its reverse (63161651202021), we get a palindrome (75181866818157).

The spelling of 12020215616136 in words is "twelve trillion, twenty billion, two hundred fifteen million, six hundred sixteen thousand, one hundred thirty-six".