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2012201011120 = 245177971856411
BaseRepresentation
bin11101010010000000100…
…001101100011110110000
321010100211202012102201211
4131102000201230132300
5230431441424323440
64140220431005504
7265243134250036
oct35220041543660
97110752172654
102012201011120
11706408016053
12285b8a069894
13117999248491
146d569074556
153751e206eea
hex1d48086c7b0

2012201011120 has 80 divisors (see below), whose sum is σ = 4959783366048. Its totient is φ = 756583608320.

The previous prime is 2012201011061. The next prime is 2012201011129. The reversal of 2012201011120 is 211101022102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2012201011120.

It is not an unprimeable number, because it can be changed into a prime (2012201011129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 155715 + ... + 2012125.

Almost surely, 22012201011120 is an apocalyptic number.

2012201011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012201011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479891683024).

2012201011120 is an abundant number, since it is smaller than the sum of its proper divisors (2947582354928).

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

2012201011120 is a wasteful number, since it uses less digits than its factorization.

2012201011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857238 (or 1857232 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2012201011120 its reverse (211101022102), we get a palindrome (2223302033222).

The spelling of 2012201011120 in words is "two trillion, twelve billion, two hundred one million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 797 1360 1594 3188 3985 6376 7970 12752 13549 15940 27098 31880 54196 63760 67745 108392 135490 216784 270980 541960 1083920 1856411 3712822 7425644 9282055 14851288 18564110 29702576 31558987 37128220 63117974 74256440 126235948 148512880 157794935 252471896 315589870 504943792 631179740 1262359480 1479559567 2524718960 2959119134 5918238268 7397797835 11836476536 14795595670 23672953072 25152512639 29591191340 50305025278 59182382680 100610050556 118364765360 125762563195 201220101112 251525126390 402440202224 503050252780 1006100505560 2012201011120