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12290116720 = 245795323029
BaseRepresentation
bin10110111001000110…
…00100110001110000
31011201112000121200011
423130203010301300
5200132232213340
65351311504304
7613363161040
oct133443046160
934645017604
1012290116720
1152374a5662
12246bb28094
13120b2b1c1b
1484837b720
154bde7b0ea
hex2dc8c4c70

12290116720 has 80 divisors (see below), whose sum is σ = 32692282560. Its totient is φ = 4209149952.

The previous prime is 12290116691. The next prime is 12290116721. The reversal of 12290116720 is 2761109221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12290116721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522166 + ... + 545194.

It is an arithmetic number, because the mean of its divisors is an integer number (408653532).

Almost surely, 212290116720 is an apocalyptic number.

12290116720 is a gapful number since it is divisible by the number (10) 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 12290116720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16346141280).

12290116720 is an abundant number, since it is smaller than the sum of its proper divisors (20402165840).

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

12290116720 is a wasteful number, since it uses less digits than its factorization.

12290116720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24002 (or 23996 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 12290116720 in words is "twelve billion, two hundred ninety million, one hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 953 1906 3812 4765 6671 7624 9530 13342 15248 19060 23029 26684 33355 38120 46058 53368 66710 76240 92116 106736 115145 133420 161203 184232 230290 266840 322406 368464 460580 533680 644812 806015 921160 1289624 1612030 1842320 2579248 3224060 6448120 12896240 21946637 43893274 87786548 109733185 153626459 175573096 219466370 307252918 351146192 438932740 614505836 768132295 877865480 1229011672 1536264590 1755730960 2458023344 3072529180 6145058360 12290116720