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12252061163616 = 2531132593435569
BaseRepresentation
bin1011001001001010011111…
…0000001110000001100000
31121101021201012121220211220
42302102213300032001200
53101214210124213431
642020304051335040
72403116332365441
oct262224760160140
947337635556756
1012252061163616
1139a408513085a
12145a6465b1480
136ab4977bc601
1430500804b2c8
15163a86b7eb96
hexb24a7c0e060

12252061163616 has 96 divisors (see below), whose sum is σ = 32458864566240. Its totient is φ = 4046308245504.

The previous prime is 12252061163549. The next prime is 12252061163633. The reversal of 12252061163616 is 61636116025221.

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

It is a super-2 number, since 2×122520611636162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 27911080 + ... + 28346648.

It is an arithmetic number, because the mean of its divisors is an integer number (338113172565).

Almost surely, 212252061163616 is an apocalyptic number.

12252061163616 is a gapful number since it is divisible by the number (16) 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 12252061163616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16229432283120).

12252061163616 is an abundant number, since it is smaller than the sum of its proper divisors (20206803402624).

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

12252061163616 is a wasteful number, since it uses less digits than its factorization.

12252061163616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438288 (or 438280 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

Adding to 12252061163616 its reverse (61636116025221), we get a palindrome (73888177188837).

The spelling of 12252061163616 in words is "twelve trillion, two hundred fifty-two billion, sixty-one million, one hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2593 2712 3616 5186 5424 7779 10372 10848 15558 20744 31116 41488 62232 82976 124464 248928 293009 435569 586018 871138 879027 1172036 1306707 1742276 1758054 2344072 2613414 3484552 3516108 4688144 5226828 6969104 7032216 9376288 10453656 13938208 14064432 20907312 28128864 41814624 49219297 98438594 147657891 196877188 295315782 393754376 590631564 787508752 1129430417 1181263128 1575017504 2258860834 2362526256 3388291251 4517721668 4725052512 6776582502 9035443336 13553165004 18070886672 27106330008 36141773344 54212660016 108425320032 127625637121 255251274242 382876911363 510502548484 765753822726 1021005096968 1531507645452 2042010193936 3063015290904 4084020387872 6126030581808 12252061163616