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12021124100 = 2252120211241
BaseRepresentation
bin10110011001000001…
…11100110000000100
31011000202212101011112
423030200330300010
5144104401432400
65304502224152
7603615604016
oct131440746004
934022771145
1012021124100
11510967a507
1223b5a25058
13119764c7ab
1482075a1b6
154a5544835
hex2cc83cc04

12021124100 has 18 divisors (see below), whose sum is σ = 26085839514. Its totient is φ = 4808449600.

The previous prime is 12021124067. The next prime is 12021124147. The reversal of 12021124100 is 142112021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 19483396 + 12001640704 = 4414^2 + 109552^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60105521 + ... + 60105720.

Almost surely, 212021124100 is an apocalyptic number.

12021124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021124100 is an abundant number, since it is smaller than the sum of its proper divisors (14064715414).

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

12021124100 is a wasteful number, since it uses less digits than its factorization.

12021124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120211255 (or 120211248 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12021124100 its reverse (142112021), we get a palindrome (12163236121).

The spelling of 12021124100 in words is "twelve billion, twenty-one million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 120211241 240422482 480844964 601056205 1202112410 2404224820 3005281025 6010562050 12021124100