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1000012011200 = 26522921551983
BaseRepresentation
bin11101000110101010101…
…11000101011011000000
310112121012120000122202022
432203111113011123000
5112341011033324300
62043222115541012
7132151141563056
oct16432527053300
93477176018668
101000012011200
1135611478a104
12141985bba768
13733ba912967
1436587c921d6
151b02c83a285
hexe8d55c56c0

1000012011200 has 84 divisors (see below), whose sum is σ = 2545504830240. Its totient is φ = 386211517440.

The previous prime is 1000012011151. The next prime is 1000012011203. The reversal of 1000012011200 is 21102100001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1000012011203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10729592 + ... + 10822391.

Almost surely, 21000012011200 is an apocalyptic number.

1000012011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000012011200 is an abundant number, since it is smaller than the sum of its proper divisors (1545492819040).

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

1000012011200 is a wasteful number, since it uses less digits than its factorization.

1000012011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21552034 (or 21552019 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1000012011200 its reverse (21102100001), we get a palindrome (1021114111201).

The spelling of 1000012011200 in words is "one trillion, twelve million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 145 160 200 232 290 320 400 464 580 725 800 928 1160 1450 1600 1856 2320 2900 4640 5800 9280 11600 23200 46400 21551983 43103966 86207932 107759915 172415864 215519830 344831728 431039660 538799575 625007507 689663456 862079320 1077599150 1250015014 1379326912 1724158640 2155198300 2500030028 3125037535 3448317280 4310396600 5000060056 6250075070 6896634560 8620793200 10000120112 12500150140 15625187675 17241586400 20000240224 25000300280 31250375350 34483172800 40000480448 50000600560 62500750700 100001201120 125001501400 200002402240 250003002800 500006005600 1000012011200