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20221122112112 = 24191031642739313
BaseRepresentation
bin1001001100100000110001…
…10011001110101001110000
32122121010020202201122211202
410212100120303032221300
510122300324230041422
6111001242200230332
74154633153662445
oct446203063165160
978533222648752
1020221122112112
1164968032a5739
122326ba4a6b3a8
13b38ac76010ac
144dc9c967b9cc
15250ee7828b92
hex126418ccea70

20221122112112 has 80 divisors (see below), whose sum is σ = 41644433276160. Its totient is φ = 9484613139456.

The previous prime is 20221122112021. The next prime is 20221122112129. The reversal of 20221122112112 is 21121122112202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514342568 + ... + 514381880.

It is an arithmetic number, because the mean of its divisors is an integer number (520555415952).

Almost surely, 220221122112112 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 20221122112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20822216638080).

20221122112112 is an abundant number, since it is smaller than the sum of its proper divisors (21423311164048).

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

20221122112112 is a wasteful number, since it uses less digits than its factorization.

20221122112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55870 (or 55864 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 20221122112112 its reverse (21121122112202), we get a palindrome (41342244224314).

The spelling of 20221122112112 in words is "twenty trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 103 152 206 304 412 824 1648 1957 3914 7828 15656 16427 31312 32854 39313 65708 78626 131416 157252 262832 312113 314504 624226 629008 746947 1248452 1493894 1691981 2496904 2987788 3383962 4049239 4993808 5975576 6767924 8098478 11951152 13535848 16196956 27071696 32147639 32393912 64295278 64787824 76935541 128590556 153871082 257181112 307742164 514362224 615484328 645794651 1230968656 1291589302 2583178604 5166357208 10332714416 12270098369 24540196738 49080393476 66516849053 98160786952 133033698106 196321573904 266067396212 532134792424 1064269584848 1263820132007 2527640264014 5055280528028 10110561056056 20221122112112