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212022021001120 = 25511974912356863
BaseRepresentation
bin110000001101010100111001…
…001111110000111110100000
31000210201002220012002220221221
4300031110321033300332200
5210242232044334013440
62030533323302024424
762442041221624501
oct6015247117607640
91023632805086857
10212022021001120
11616140414a8230
121b943355a18114
13913c78ac74735
143a4dcc608cba8
15197a2a538ad4a
hexc0d5393f0fa0

212022021001120 has 96 divisors (see below), whose sum is σ = 546494667264000. Its totient is φ = 77091002096640.

The previous prime is 212022021001073. The next prime is 212022021001123. The reversal of 212022021001120 is 21100120220212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 212022021001094 and 212022021001103.

It is not an unprimeable number, because it can be changed into a prime (212022021001123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10979809 + ... + 23336671.

It is an arithmetic number, because the mean of its divisors is an integer number (5692652784000).

Almost surely, 2212022021001120 is an apocalyptic number.

212022021001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212022021001120 is an abundant number, since it is smaller than the sum of its proper divisors (334472646262880).

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

212022021001120 is a wasteful number, since it uses less digits than its factorization.

212022021001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12366638 (or 12366630 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212022021001120 its reverse (21100120220212), we get a palindrome (233122141221332).

The spelling of 212022021001120 in words is "two hundred twelve trillion, twenty-two billion, twenty-one million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 9749 19498 38996 48745 77992 97490 107239 155984 194980 214478 311968 389960 428956 536195 779920 857912 1072390 1559840 1715824 2144780 3431648 4289560 8579120 12356863 17158240 24713726 49427452 61784315 98854904 123568630 135925493 197709808 247137260 271850986 395419616 494274520 543701972 679627465 988549040 1087403944 1359254930 1977098080 2174807888 2718509860 4349615776 5437019720 10874039440 21748078880 120467057387 240934114774 481868229548 602335286935 963736459096 1204670573870 1325137631257 1927472918192 2409341147740 2650275262514 3854945836384 4818682295480 5300550525028 6625688156285 9637364590960 10601101050056 13251376312570 19274729181920 21202202100112 26502752625140 42404404200224 53005505250280 106011010500560 212022021001120