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12201856224 = 2532319128933
BaseRepresentation
bin10110101110100100…
…11000110011100000
31011111100221112000220
423113102120303200
5144442133344344
65334440043040
7611242031565
oct132722306340
934440845026
1012201856224
1151a16a21a8
122446463480
1311c5c1b98c
1483a76486c
154b6344c19
hex2d7498ce0

12201856224 has 96 divisors (see below), whose sum is σ = 33598623744. Its totient is φ = 3869944320.

The previous prime is 12201856217. The next prime is 12201856243. The reversal of 12201856224 is 42265810221.

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

It is a super-2 number, since 2×122018562242 (a number of 21 digits) contains 22 as substring.

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, 407262 + ... + 436194.

It is an arithmetic number, because the mean of its divisors is an integer number (349985664).

Almost surely, 212201856224 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 12201856224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16799311872).

12201856224 is an abundant number, since it is smaller than the sum of its proper divisors (21396767520).

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

12201856224 is a wasteful number, since it uses less digits than its factorization.

12201856224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29160 (or 29152 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 12201856224 in words is "twelve billion, two hundred one million, eight hundred fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 191 276 368 382 552 573 736 764 1104 1146 1528 2208 2292 3056 4393 4584 6112 8786 9168 13179 17572 18336 26358 28933 35144 52716 57866 70288 86799 105432 115732 140576 173598 210864 231464 347196 421728 462928 665459 694392 925856 1330918 1388784 1996377 2661836 2777568 3992754 5323672 5526203 7985508 10647344 11052406 15971016 16578609 21294688 22104812 31942032 33157218 44209624 63884064 66314436 88419248 127102669 132628872 176838496 254205338 265257744 381308007 508410676 530515488 762616014 1016821352 1525232028 2033642704 3050464056 4067285408 6100928112 12201856224