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12020202112 = 27294375307
BaseRepresentation
bin10110011000111010…
…11011101010000000
31011000201010112102211
423030131123222000
5144104132431422
65304430351504
7603605014012
oct131435335200
934021115384
1012020202112
1151090aa836
1223b565b594
1311973b8c39
1482059a1b2
154a5411577
hex2cc75ba80

12020202112 has 64 divisors (see below), whose sum is σ = 25348672800. Its totient is φ = 5667830784.

The previous prime is 12020202097. The next prime is 12020202127. The reversal of 12020202112 is 21120202021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12020202097) and next prime (12020202127).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12020202092 and 12020202101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121963 + ... + 197269.

Almost surely, 212020202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12020202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12674336400).

12020202112 is an abundant number, since it is smaller than the sum of its proper divisors (13328470688).

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

12020202112 is an equidigital number, since it uses as much as digits as its factorization.

12020202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75393 (or 75381 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12020202112 its reverse (21120202021), we get a palindrome (33140404133).

Subtracting 12020202112 from its reverse (21120202021), we obtain a palindrome (9099999909).

The spelling of 12020202112 in words is "twelve billion, twenty million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 43 58 64 86 116 128 172 232 344 464 688 928 1247 1376 1856 2494 2752 3712 4988 5504 9976 19952 39904 75307 79808 150614 159616 301228 602456 1204912 2183903 2409824 3238201 4367806 4819648 6476402 8735612 9639296 12952804 17471224 25905608 34942448 51811216 69884896 93907829 103622432 139769792 187815658 207244864 279539584 375631316 414489728 751262632 1502525264 3005050528 6010101056 12020202112