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12200005260 = 223251947711069
BaseRepresentation
bin10110101110010110…
…10100111010001100
31011111020110110222200
423113023110322030
5144441200132020
65334332241500
7611220222312
oct132713247214
934436413880
1012200005260
1151a0648583
122445910290
1311c5721331
1483a4020b2
154b60cb590
hex2d72d4e8c

12200005260 has 288 divisors, whose sum is σ = 40381286400. Its totient is φ = 2971261440.

The previous prime is 12200005249. The next prime is 12200005271. The reversal of 12200005260 is 6250000221.

It is an interprime number because it is at equal distance from previous prime (12200005249) and next prime (12200005271).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11412006 + ... + 11413074.

It is an arithmetic number, because the mean of its divisors is an integer number (140212800).

Almost surely, 212200005260 is an apocalyptic number.

12200005260 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 12200005260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20190643200).

12200005260 is an abundant number, since it is smaller than the sum of its proper divisors (28181281140).

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

12200005260 is a wasteful number, since it uses less digits than its factorization.

12200005260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 12200005260 its reverse (6250000221), we get a palindrome (18450005481).

The spelling of 12200005260 in words is "twelve billion, two hundred million, five thousand, two hundred sixty".