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212022120122120 = 235711102523671443
BaseRepresentation
bin110000001101010100111111…
…001001111000011100001000
31000210201010011002121210102002
4300031110333021320130020
5210242232300222401440
62030533341202330132
762442043534266140
oct6015247711703410
91023633132553362
10212022120122120
1161614092449310
121b943383059948
13913c7a566b109
143a4dcd52d1920
15197a2ade1a115
hexc0d53f278708

212022120122120 has 128 divisors (see below), whose sum is σ = 594770037027840. Its totient is φ = 66084073655040.

The previous prime is 212022120122119. The next prime is 212022120122123. The reversal of 212022120122120 is 21221021220212.

It is a super-3 number, since 3×2120221201221203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212022120122092 and 212022120122101.

It is not an unprimeable number, because it can be changed into a prime (212022120122123) 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, 315435119 + ... + 316106561.

It is an arithmetic number, because the mean of its divisors is an integer number (4646640914280).

Almost surely, 2212022120122120 is an apocalyptic number.

212022120122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212022120122120 is an abundant number, since it is smaller than the sum of its proper divisors (382747916905720).

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

212022120122120 is a wasteful number, since it uses less digits than its factorization.

212022120122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773995 (or 773991 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212022120122120 its reverse (21221021220212), we get a palindrome (233243141342332).

The spelling of 212022120122120 in words is "two hundred twelve trillion, twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 102523 205046 410092 512615 671443 717661 820184 1025230 1127753 1342886 1435322 2050460 2255506 2685772 2870644 3357215 3588305 4100920 4511012 4700101 5371544 5638765 5741288 6714430 7176610 7385873 7894271 9022024 9400202 11277530 13428860 14353220 14771746 15788542 18800404 22555060 23500505 26857720 28706440 29543492 31577084 36929365 37600808 39471355 45110120 47001010 51701111 59086984 63154168 73858730 78942710 94002020 103402222 147717460 157885420 188004040 206804444 258505555 295434920 315770840 413608888 517011110 1034022220 2068044440 68838350689 137676701378 275353402756 344191753445 481868454823 550706805512 688383506890 757221857579 963736909646 1376767013780 1514443715158 1927473819292 2409342274115 2753534027560 3028887430316 3786109287895 3854947638584 4818684548230 5300553003053 6057774860632 7572218575790 9637369096460 10601106006106 15144437151580 19274738192920 21202212012212 26502765015265 30288874303160 42404424024424 53005530030530 106011060061060 212022120122120