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12191910272 = 271922392
BaseRepresentation
bin10110101101011000…
…11100100110000000
31011110200020012202022
423112230130212000
5144432112112042
65333442541012
7611061345623
oct132654344600
934420205668
1012191910272
115197019703
122443067768
1311c3b488b9
148392d5dba
154b552ccd2
hex2d6b1c980

12191910272 has 48 divisors (see below), whose sum is σ = 25578341100. Its totient is φ = 5772536064.

The previous prime is 12191910259. The next prime is 12191910277. The reversal of 12191910272 is 27201919121.

It is a super-2 number, since 2×121919102722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12191910277) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5444129 + ... + 5446367.

Almost surely, 212191910272 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 12191910272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12789170550).

12191910272 is an abundant number, since it is smaller than the sum of its proper divisors (13386430828).

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

12191910272 is an frugal number, since it uses more digits than its factorization.

12191910272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 35.

The spelling of 12191910272 in words is "twelve billion, one hundred ninety-one million, nine hundred ten thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2239 2432 4478 8956 17912 35824 42541 71648 85082 143296 170164 286592 340328 680656 1361312 2722624 5013121 5445248 10026242 20052484 40104968 80209936 95249299 160419872 190498598 320839744 380997196 641679488 761994392 1523988784 3047977568 6095955136 12191910272