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2012121320 = 2351121121673
BaseRepresentation
bin111011111101110…
…1000100011101000
312012020011100112212
41313323220203220
513110100340240
6531354424252
7100601514626
oct16773504350
95166140485
102012121320
11942876590
12481a32088
13260b2c641
14151332516
15bb9a9165
hex77ee88e8

2012121320 has 64 divisors (see below), whose sum is σ = 4962479040. Its totient is φ = 728179200.

The previous prime is 2012121313. The next prime is 2012121323. The reversal of 2012121320 is 231212102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2012121295 and 2012121304.

It is not an unprimeable number, because it can be changed into a prime (2012121323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82004 + ... + 103676.

It is an arithmetic number, because the mean of its divisors is an integer number (77538735).

Almost surely, 22012121320 is an apocalyptic number.

2012121320 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 2012121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481239520).

2012121320 is an abundant number, since it is smaller than the sum of its proper divisors (2950357720).

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

2012121320 is a wasteful number, since it uses less digits than its factorization.

2012121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21906 (or 21902 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2012121320 is about 44856.6753114851. The cubic root of 2012121320 is about 1262.4612427405.

Adding to 2012121320 its reverse (231212102), we get a palindrome (2243333422).

The spelling of 2012121320 in words is "two billion, twelve million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 211 220 422 440 844 1055 1688 2110 2321 4220 4642 8440 9284 11605 18568 21673 23210 43346 46420 86692 92840 108365 173384 216730 238403 433460 476806 866920 953612 1192015 1907224 2384030 4573003 4768060 9146006 9536120 18292012 22865015 36584024 45730030 50303033 91460060 100606066 182920120 201212132 251515165 402424264 503030330 1006060660 2012121320