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12136002216 = 23313261181271
BaseRepresentation
bin10110100110101110…
…01011001010101000
31011022210000210022120
423103113023022220
5144323304032331
65324124351240
7606512213442
oct132327131250
934283023276
1012136002216
1151685030a8
1224283a5520
1311b53a2300
14831b01492
154b0687796
hex2d35cb2a8

12136002216 has 192 divisors, whose sum is σ = 33700343040. Its totient is φ = 3639168000.

The previous prime is 12136002209. The next prime is 12136002253. The reversal of 12136002216 is 61220063121.

12136002216 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 (24).

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 47 ways as a sum of consecutive naturals, for example, 44782161 + ... + 44782431.

It is an arithmetic number, because the mean of its divisors is an integer number (175522620).

Almost surely, 212136002216 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 12136002216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16850171520).

12136002216 is an abundant number, since it is smaller than the sum of its proper divisors (21564340824).

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

12136002216 is a wasteful number, since it uses less digits than its factorization.

12136002216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12136002216 its reverse (61220063121), we get a palindrome (73356065337).

The spelling of 12136002216 in words is "twelve billion, one hundred thirty-six million, two thousand, two hundred sixteen".