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12052212768 = 253264692
BaseRepresentation
bin10110011100101111…
…00010110000100000
31011002221100211210200
423032113202300200
5144140331302033
65311532425200
7604444055361
oct131627426040
934087324720
1012052212768
115125183922
122404318200
1311a0c1615b
1482492db68
154a8136013
hex2ce5e2c20

12052212768 has 54 divisors (see below), whose sum is σ = 34278778989. Its totient is φ = 4016783232.

The previous prime is 12052212763. The next prime is 12052212779. The reversal of 12052212768 is 86721225021.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12052212768 is a `hidden beast` number, since 1 + 2 + 0 + 522 + 127 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8691459984 + 3360752784 = 93228^2 + 57972^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=77628.

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

It is not an unprimeable number, because it can be changed into a prime (12052212761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1859838 + ... + 1866306.

Almost surely, 212052212768 is an apocalyptic number.

12052212768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12052212768 is an abundant number, since it is smaller than the sum of its proper divisors (22226566221).

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

12052212768 is an frugal number, since it uses more digits than its factorization.

12052212768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12954 (or 6474 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 12052212768 its reverse (86721225021), we get a palindrome (98773437789).

The spelling of 12052212768 in words is "twelve billion, fifty-two million, two hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 6469 12938 19407 25876 38814 51752 58221 77628 103504 116442 155256 207008 232884 310512 465768 621024 931536 1863072 41847961 83695922 125543883 167391844 251087766 334783688 376631649 502175532 669567376 753263298 1004351064 1339134752 1506526596 2008702128 3013053192 4017404256 6026106384 12052212768