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12127253300 = 2252532288161
BaseRepresentation
bin10110100101101011…
…10011001100110100
31011022011120022001122
423102311303030310
5144314034101200
65323213043112
7606344644421
oct132265631464
934264508048
1012127253300
115163577998
122425486498
1311b362b036
148308a4d48
154aea0a385
hex2d2d73334

12127253300 has 36 divisors (see below), whose sum is σ = 26812682316. Its totient is φ = 4759372800.

The previous prime is 12127253287. The next prime is 12127253317. The reversal of 12127253300 is 335272121.

It can be written as a sum of positive squares in 6 ways, for example, as 1217032996 + 10910220304 = 34886^2 + 104452^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12127253300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1138781 + ... + 1149380.

It is an arithmetic number, because the mean of its divisors is an integer number (744796731).

Almost surely, 212127253300 is an apocalyptic number.

12127253300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12127253300 is an abundant number, since it is smaller than the sum of its proper divisors (14685429016).

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

12127253300 is a wasteful number, since it uses less digits than its factorization.

12127253300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288228 (or 2288221 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The spelling of 12127253300 in words is "twelve billion, one hundred twenty-seven million, two hundred fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 2288161 4576322 9152644 11440805 22881610 45763220 57204025 114408050 121272533 228816100 242545066 485090132 606362665 1212725330 2425450660 3031813325 6063626650 12127253300