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12120114412 = 2275359138427
BaseRepresentation
bin10110100100110101…
…00100010011101100
31011021200010121100101
423102122210103230
5144310222130122
65322400040444
7606230162350
oct132232442354
934250117311
1012120114412
11515a54138a
122423003124
1311b1ccb843
1482d967460
154ae09a027
hex2d26a44ec

12120114412 has 48 divisors (see below), whose sum is σ = 25116376320. Its totient is φ = 5009913792.

The previous prime is 12120114403. The next prime is 12120114451. The reversal of 12120114412 is 21441102121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12120114412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18343 + ... + 156769.

It is an arithmetic number, because the mean of its divisors is an integer number (523257840).

Almost surely, 212120114412 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 12120114412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12558188160).

12120114412 is an abundant number, since it is smaller than the sum of its proper divisors (12996261908).

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

12120114412 is a wasteful number, since it uses less digits than its factorization.

12120114412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138550 (or 138548 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12120114412 its reverse (21441102121), we get a palindrome (33561216533).

The spelling of 12120114412 in words is "twelve billion, one hundred twenty million, one hundred fourteen thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 53 59 106 118 212 236 371 413 742 826 1484 1652 3127 6254 12508 21889 43778 87556 138427 276854 553708 968989 1937978 3875956 7336631 8167193 14673262 16334386 29346524 32668772 51356417 57170351 102712834 114340702 205425668 228681404 432861229 865722458 1731444916 3030028603 6060057206 12120114412