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20211121101222 = 2337148891078247
BaseRepresentation
bin1001001100001110001001…
…01100011001100110100110
32122120011102210001200001000
410212013010230121212212
510122114334000214342
6110552505540014130
74154130264540342
oct446070454314646
978504383050030
1020211121101222
116492540a60187
122325073691346
13b37b9264b77c
144dc31b334622
15250b0e81b44c
hex1261c4b199a6

20211121101222 has 64 divisors (see below), whose sum is σ = 45555546700800. Its totient is φ = 6640787724480.

The previous prime is 20211121101211. The next prime is 20211121101239. The reversal of 20211121101222 is 22210112111202.

20211121101222 is a `hidden beast` number, since 20 + 211 + 1 + 211 + 0 + 1 + 222 = 666.

It is a super-2 number, since 2×202111211012222 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20211121101195 and 20211121101204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18205303 + ... + 19283549.

It is an arithmetic number, because the mean of its divisors is an integer number (711805417200).

Almost surely, 220211121101222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20211121101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22777773350400).

20211121101222 is an abundant number, since it is smaller than the sum of its proper divisors (25344425599578).

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

20211121101222 is a wasteful number, since it uses less digits than its factorization.

20211121101222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083218 (or 1083212 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20211121101222 its reverse (22210112111202), we get a palindrome (42421233212424).

The spelling of 20211121101222 in words is "twenty trillion, two hundred eleven billion, one hundred twenty-one million, one hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 639 1278 1917 3834 4889 9778 14667 29334 44001 88002 132003 264006 347119 694238 1041357 1078247 2082714 2156494 3124071 3234741 6248142 6469482 9372213 9704223 18744426 19408446 29112669 58225338 76555537 153111074 229666611 459333222 688999833 1377999666 2066999499 4133998998 5271549583 10543099166 15814648749 31629297498 47443946247 94887892494 142331838741 284663677482 374280020393 748560040786 1122840061179 2245680122358 3368520183537 6737040367074 10105560550611 20211121101222