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12225544032 = 2531361715877
BaseRepresentation
bin10110110001011001…
…01111111101100000
31011120000111222121010
423120230233331200
5200014214402112
65341043500520
7611650260342
oct133054577540
934500458533
1012225544032
1152040011a9
122452387740
1311caac3830
1483d96d292
154b847363c
hex2d8b2ff60

12225544032 has 96 divisors (see below), whose sum is σ = 34618866912. Its totient is φ = 3755372544.

The previous prime is 12225543991. The next prime is 12225544061. The reversal of 12225544032 is 23044552221.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762078 + ... + 777954.

It is an arithmetic number, because the mean of its divisors is an integer number (360613197).

Almost surely, 212225544032 is an apocalyptic number.

12225544032 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 12225544032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17309433456).

12225544032 is an abundant number, since it is smaller than the sum of its proper divisors (22393322880).

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

12225544032 is a wasteful number, since it uses less digits than its factorization.

12225544032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16520 (or 16512 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 12225544032 in words is "twelve billion, two hundred twenty-five million, five hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 617 624 1234 1248 1851 2468 3702 4936 7404 8021 9872 14808 15877 16042 19744 24063 29616 31754 32084 47631 48126 59232 63508 64168 95262 96252 127016 128336 190524 192504 206401 254032 256672 381048 385008 412802 508064 619203 762096 770016 825604 1238406 1524192 1651208 2476812 3302416 4953624 6604832 9796109 9907248 19592218 19814496 29388327 39184436 58776654 78368872 117553308 127349417 156737744 235106616 254698834 313475488 382048251 470213232 509397668 764096502 940426464 1018795336 1528193004 2037590672 3056386008 4075181344 6112772016 12225544032