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2012201221120 = 21052271731313
BaseRepresentation
bin11101010010000000100…
…010011111110000000000
321010100211202121002210121
4131102000202133300000
5230431442003033440
64140220435310024
7265243136113216
oct35220042376000
97110752532717
102012201221120
11706408149902
12285b8a14b314
131179992bcc3c
146d5690cacb6
153751e24934a
hex1d48089fc00

2012201221120 has 88 divisors (see below), whose sum is σ = 4848191668944. Its totient is φ = 801334296576.

The previous prime is 2012201221117. The next prime is 2012201221127. The reversal of 2012201221120 is 211221022102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2012201221094 and 2012201221103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012201221127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296584 + ... + 2027896.

Almost surely, 22012201221120 is an apocalyptic number.

2012201221120 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 2012201221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424095834472).

2012201221120 is an abundant number, since it is smaller than the sum of its proper divisors (2835990447824).

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

2012201221120 is a wasteful number, since it uses less digits than its factorization.

2012201221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731565 (or 1731547 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2012201221120 its reverse (211221022102), we get a palindrome (2223422243222).

The spelling of 2012201221120 in words is "two trillion, twelve billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 227 256 320 454 512 640 908 1024 1135 1280 1816 2270 2560 3632 4540 5120 7264 9080 14528 18160 29056 36320 58112 72640 116224 145280 232448 290560 581120 1162240 1731313 3462626 6925252 8656565 13850504 17313130 27701008 34626260 55402016 69252520 110804032 138505040 221608064 277010080 393008051 443216128 554020160 786016102 886432256 1108040320 1572032204 1772864512 1965040255 2216080640 3144064408 3930080510 4432161280 6288128816 7860161020 8864322560 12576257632 15720322040 25152515264 31440644080 50305030528 62881288160 100610061056 125762576320 201220122112 251525152640 402440244224 503050305280 1006100610560 2012201221120