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12001001100 = 22352113636667
BaseRepresentation
bin10110010110101000…
…01011111010001100
31010222101000000121020
423023110023322030
5144034224013400
65302503034140
7603252553254
oct131324137214
933871000536
1012001001100
1150a9285830
1223ab13b950
1311934253aa
1481bbdc964
154a38bc2a0
hex2cb50be8c

12001001100 has 72 divisors (see below), whose sum is σ = 37879533888. Its totient is φ = 2909332800.

The previous prime is 12001001087. The next prime is 12001001113. The reversal of 12001001100 is 110010021.

12001001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12001001087) and next prime (12001001113).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1815034 + ... + 1821633.

Almost surely, 212001001100 is an apocalyptic number.

12001001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001001100 is an abundant number, since it is smaller than the sum of its proper divisors (25878532788).

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

12001001100 is a wasteful number, since it uses less digits than its factorization.

12001001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636695 (or 3636688 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 12001001100 its reverse (110010021), we get a palindrome (12111011121).

The spelling of 12001001100 in words is "twelve billion, one million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3636667 7273334 10910001 14546668 18183335 21820002 36366670 40003337 43640004 54550005 72733340 80006674 90916675 109100010 120010011 160013348 181833350 200016685 218200020 240020022 272750025 363666700 400033370 480040044 545500050 600050055 800066740 1000083425 1091000100 1200100110 2000166850 2400200220 3000250275 4000333700 6000500550 12001001100