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12001112100 = 22325213334569
BaseRepresentation
bin10110010110101001…
…00111000000100100
31010222101012122212100
423023110213000210
5144034241041400
65302505252100
7603253525005
oct131324470044
933871178770
1012001112100
1150a935116a
1223ab194030
131193463a83
1481bc2b1ac
154a38e0100
hex2cb527024

12001112100 has 54 divisors (see below), whose sum is σ = 37616821970. Its totient is φ = 3200296320.

The previous prime is 12001112099. The next prime is 12001112153. The reversal of 12001112100 is 121110021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1986306624 + 10014805476 = 44568^2 + 100074^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6666385 + ... + 6668184.

Almost surely, 212001112100 is an apocalyptic number.

12001112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001112100 is an abundant number, since it is smaller than the sum of its proper divisors (25615709870).

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

12001112100 is a wasteful number, since it uses less digits than its factorization.

12001112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13334589 (or 13334579 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12001112100 its reverse (121110021), we get a palindrome (12122222121).

The spelling of 12001112100 in words is "twelve billion, one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 13334569 26669138 40003707 53338276 66672845 80007414 120011121 133345690 160014828 200018535 240022242 266691380 333364225 400037070 480044484 600055605 666728450 800074140 1000092675 1200111210 1333456900 2000185350 2400222420 3000278025 4000370700 6000556050 12001112100