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2012122210212 = 2232531109950921
BaseRepresentation
bin11101010001111011110…
…101000101111110100100
321010100122020220221012200
4131101323311011332210
5230431311241211322
64140204534014500
7265241156406552
oct35217365057644
97110566827180
102012122210212
11706377593834
12285b677a7430
13117985b17b1a
146d55c800bd2
153751733d8ac
hex1d47bd45fa4

2012122210212 has 72 divisors (see below), whose sum is σ = 5186842085880. Its totient is φ = 657458480640.

The previous prime is 2012122210207. The next prime is 2012122210243. The reversal of 2012122210212 is 2120122212102.

It is a happy number.

2012122210212 is a `hidden beast` number, since 20 + 1 + 212 + 221 + 0 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22651454016 + 1989470756196 = 150504^2 + 1410486^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1640512 + ... + 2591432.

It is an arithmetic number, because the mean of its divisors is an integer number (72039473415).

Almost surely, 22012122210212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012122210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593421042940).

2012122210212 is an abundant number, since it is smaller than the sum of its proper divisors (3174719875668).

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

2012122210212 is a wasteful number, since it uses less digits than its factorization.

2012122210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952093 (or 952088 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2012122210212 its reverse (2120122212102), we get a palindrome (4132244422314).

The spelling of 2012122210212 in words is "two trillion, twelve billion, one hundred twenty-two million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1109 1908 2218 3327 4436 6654 9981 13308 19962 39924 58777 117554 176331 235108 352662 528993 705324 950921 1057986 1901842 2115972 2852763 3803684 5705526 8558289 11411052 17116578 34233156 50398813 100797626 151196439 201595252 302392878 453589317 604785756 907178634 1054571389 1814357268 2109142778 3163714167 4218285556 6327428334 9491142501 12654856668 18982285002 37964570004 55892283617 111784567234 167676850851 223569134468 335353701702 503030552553 670707403404 1006061105106 2012122210212