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202122212012 = 227471327115741
BaseRepresentation
bin1011110000111101101…
…1000011001010101100
3201022201020121020002022
42330033123003022230
511302421241241022
6232504220245312
720413530312020
oct2741733031254
9638636536068
10202122212012
11787a07a0526
123320a3a0838
13160a1bb6226
149ad5cb0380
1553ce927c42
hex2f0f6c32ac

202122212012 has 48 divisors (see below), whose sum is σ = 413160050688. Its totient is φ = 84716124480.

The previous prime is 202122211961. The next prime is 202122212069. The reversal of 202122212012 is 210212221202.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1688462 + ... + 1804202.

It is an arithmetic number, because the mean of its divisors is an integer number (8607501056).

Almost surely, 2202122212012 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 202122212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206580025344).

202122212012 is an abundant number, since it is smaller than the sum of its proper divisors (211037838676).

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

202122212012 is a wasteful number, since it uses less digits than its factorization.

202122212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117126 (or 117124 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202122212012 its reverse (210212221202), we get a palindrome (412334433214).

The spelling of 202122212012 in words is "two hundred two billion, one hundred twenty-two million, two hundred twelve thousand, twelve".

Divisors: 1 2 4 7 14 28 47 94 188 329 658 1316 1327 2654 5308 9289 18578 37156 62369 115741 124738 231482 249476 436583 462964 810187 873166 1620374 1746332 3240748 5439827 10879654 21759308 38078789 76157578 152315156 153588307 307176614 614353228 1075118149 2150236298 4300472596 7218650429 14437300858 28874601716 50530553003 101061106006 202122212012