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12231302320 = 2451313593251
BaseRepresentation
bin10110110010000101…
…01101110010110000
31011120102100112111001
423121002231302300
5200022203133240
65341411131344
7612050232346
oct133102556260
934512315431
1012231302320
115207284516
1224542a3b54
1311cc05b7c3
1484062b996
154b8c0e89a
hex2d90adcb0

12231302320 has 80 divisors (see below), whose sum is σ = 28743517440. Its totient is φ = 4840160000.

The previous prime is 12231302311. The next prime is 12231302329. The reversal of 12231302320 is 2320313221.

It is an interprime number because it is at equal distance from previous prime (12231302311) and next prime (12231302329).

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

It is not an unprimeable number, because it can be changed into a prime (12231302329) 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, 3760695 + ... + 3763945.

It is an arithmetic number, because the mean of its divisors is an integer number (359293968).

Almost surely, 212231302320 is an apocalyptic number.

12231302320 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 12231302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14371758720).

12231302320 is an abundant number, since it is smaller than the sum of its proper divisors (16512215120).

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

12231302320 is a wasteful number, since it uses less digits than its factorization.

12231302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12231302320 its reverse (2320313221), we get a palindrome (14551615541).

The spelling of 12231302320 in words is "twelve billion, two hundred thirty-one million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 359 524 655 718 1048 1310 1436 1795 2096 2620 2872 3251 3590 5240 5744 6502 7180 10480 13004 14360 16255 26008 28720 32510 47029 52016 65020 94058 130040 188116 235145 260080 376232 425881 470290 752464 851762 940580 1167109 1703524 1881160 2129405 2334218 3407048 3762320 4258810 4668436 5835545 6814096 8517620 9336872 11671090 17035240 18673744 23342180 34070480 46684360 93368720 152891279 305782558 611565116 764456395 1223130232 1528912790 2446260464 3057825580 6115651160 12231302320