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12525202272 = 2531182114447
BaseRepresentation
bin10111010101000111…
…10110101101100000
31012022220101012102110
423222203312231200
5201122422433042
65430510315320
7622246314462
oct135243665540
935286335373
1012525202272
115348171940
1225167b8b40
131247c01bbb
1486b694132
154d491609c
hex2ea8f6b60

12525202272 has 96 divisors (see below), whose sum is σ = 35913798144. Its totient is φ = 3790630400.

The previous prime is 12525202267. The next prime is 12525202301. The reversal of 12525202272 is 27220252521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859753 + ... + 874199.

It is an arithmetic number, because the mean of its divisors is an integer number (374102064).

Almost surely, 212525202272 is an apocalyptic number.

12525202272 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 12525202272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17956899072).

12525202272 is an abundant number, since it is smaller than the sum of its proper divisors (23388595872).

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

12525202272 is a wasteful number, since it uses less digits than its factorization.

12525202272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15292 (or 15284 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

Adding to 12525202272 its reverse (27220252521), we get a palindrome (39745454793).

The spelling of 12525202272 in words is "twelve billion, five hundred twenty-five million, two hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 821 1056 1642 2463 3284 4926 6568 9031 9852 13136 14447 18062 19704 26272 27093 28894 36124 39408 43341 54186 57788 72248 78816 86682 108372 115576 144496 158917 173364 216744 231152 288992 317834 346728 433488 462304 476751 635668 693456 866976 953502 1271336 1386912 1907004 2542672 3814008 5085344 7628016 11860987 15256032 23721974 35582961 47443948 71165922 94887896 130470857 142331844 189775792 260941714 284663688 379551584 391412571 521883428 569327376 782825142 1043766856 1138654752 1565650284 2087533712 3131300568 4175067424 6262601136 12525202272