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1022122102212 = 2233173109350051
BaseRepresentation
bin11101101111110110011…
…10011000110111000100
310121201021110001122201000
432313323032120313010
5113221301224232322
62101320103533300
7133563065342601
oct16677316306704
93551243048630
101022122102212
113645303097a2
1214611675a230
13755024cc553
14376844cd6a8
151b8c39633ac
hexedfb398dc4

1022122102212 has 96 divisors (see below), whose sum is σ = 2667755583360. Its totient is φ = 338421283200.

The previous prime is 1022122102207. The next prime is 1022122102219. The reversal of 1022122102212 is 2122012212201.

It is a happy number.

1022122102212 is a `hidden beast` number, since 1 + 0 + 221 + 221 + 0 + 221 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1022122102219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20396587 + ... + 20446637.

It is an arithmetic number, because the mean of its divisors is an integer number (27789120660).

Almost surely, 21022122102212 is an apocalyptic number.

1022122102212 is a gapful number since it is divisible by the number (12) 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 1022122102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333877791680).

1022122102212 is an abundant number, since it is smaller than the sum of its proper divisors (1645633481148).

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

1022122102212 is a wasteful number, since it uses less digits than its factorization.

1022122102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51330 (or 51322 counting only the distinct ones).

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

Adding to 1022122102212 its reverse (2122012212201), we get a palindrome (3144134314413).

The spelling of 1022122102212 in words is "one trillion, twenty-two billion, one hundred twenty-two million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 173 346 519 692 1038 1093 1557 2076 2186 3114 3279 4372 4671 6228 6558 9342 9837 13116 18684 19674 29511 39348 50051 59022 100102 118044 150153 189089 200204 300306 378178 450459 567267 600612 756356 900918 1134534 1351377 1701801 1801836 2269068 2702754 3403602 5105403 5405508 6807204 8658823 10210806 17317646 20421612 25976469 34635292 51952938 54705743 77929407 103905876 109411486 155858814 164117229 218822972 233788221 311717628 328234458 467576442 492351687 656468916 935152884 984703374 1477055061 1969406748 2954110122 5908220244 9464093539 18928187078 28392280617 37856374156 56784561234 85176841851 113569122468 170353683702 255530525553 340707367404 511061051106 1022122102212