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12100666000 = 24536050333
BaseRepresentation
bin10110100010100000…
…11000001010010000
31011020022112112010211
423101100120022100
5144240232303000
65320423133504
7605602651423
oct132120301220
934208475124
1012100666000
11514a568515
1224185a4294
1311aac7c4c7
1482b1439ba
154ac5077ba
hex2d1418290

12100666000 has 40 divisors (see below), whose sum is σ = 29259415224. Its totient is φ = 4840265600.

The previous prime is 12100665979. The next prime is 12100666001. The reversal of 12100666000 is 66600121.

It can be written as a sum of positive squares in 4 ways, for example, as 134931456 + 11965734544 = 11616^2 + 109388^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×121006660002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12100666001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3023167 + ... + 3027166.

Almost surely, 212100666000 is an apocalyptic number.

12100666000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100666000 is an abundant number, since it is smaller than the sum of its proper divisors (17158749224).

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

12100666000 is an equidigital number, since it uses as much as digits as its factorization.

12100666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050356 (or 6050340 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 12100666000 in words is "twelve billion, one hundred million, six hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6050333 12100666 24201332 30251665 48402664 60503330 96805328 121006660 151258325 242013320 302516650 484026640 605033300 756291625 1210066600 1512583250 2420133200 3025166500 6050333000 12100666000