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12223873920 = 273513734637
BaseRepresentation
bin10110110001001100…
…11000001110000000
31011112220101010122010
423120212120032000
5200013302431140
65340544012520
7611630133246
oct133046301600
934486333563
1012223873920
115203070445
122451901140
1311ca65a5bb
1483d656796
154b8243880
hex2d8998380

12223873920 has 128 divisors (see below), whose sum is σ = 39000385440. Its totient is φ = 3256623104.

The previous prime is 12223873889. The next prime is 12223873957. The reversal of 12223873920 is 2937832221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×122238739202 (a number of 21 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2633842 + ... + 2638478.

Almost surely, 212223873920 is an apocalyptic number.

12223873920 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 12223873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19500192720).

12223873920 is an abundant number, since it is smaller than the sum of its proper divisors (26776511520).

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

12223873920 is a wasteful number, since it uses less digits than its factorization.

12223873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6032 (or 6020 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 12223873920 in words is "twelve billion, two hundred twenty-three million, eight hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1373 1920 2746 4119 4637 5492 6865 8238 9274 10984 13730 13911 16476 18548 20595 21968 23185 27460 27822 32952 37096 41190 43936 46370 54920 55644 65904 69555 74192 82380 87872 92740 109840 111288 131808 139110 148384 164760 175744 185480 219680 222576 263616 278220 296768 329520 370960 439360 445152 527232 556440 593536 659040 741920 878720 890304 1112880 1318080 1483840 1780608 2225760 2636160 2967680 4451520 6366601 8903040 12733202 19099803 25466404 31833005 38199606 50932808 63666010 76399212 95499015 101865616 127332020 152798424 190998030 203731232 254664040 305596848 381996060 407462464 509328080 611193696 763992120 814924928 1018656160 1222387392 1527984240 2037312320 2444774784 3055968480 4074624640 6111936960 12223873920