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212101011201220 = 22517623826503533
BaseRepresentation
bin110000001110011110011101…
…011011011101110011000100
31000210222122210011002211220121
4300032132131123131303010
5210300030332331414340
62031033505344111324
762450535532351201
oct6016363533356304
91023878704084817
10212101011201220
11616445963a7739
121b95671b605544
139147068b1a8cb
143a53a5aa88ca8
15197c379d8e94a
hexc0e79d6ddcc4

212101011201220 has 24 divisors (see below), whose sum is σ = 471612836671704. Its totient is φ = 79849792452096.

The previous prime is 212101011201187. The next prime is 212101011201223. The reversal of 212101011201220 is 22102110101212.

It can be written as a sum of positive squares in 4 ways, for example, as 16548363649024 + 195552647552196 = 4067968^2 + 13984014^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212101011201194 and 212101011201203.

It is not an unprimeable number, because it can be changed into a prime (212101011201223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311913251427 + ... + 311913252106.

It is an arithmetic number, because the mean of its divisors is an integer number (19650534861321).

Almost surely, 2212101011201220 is an apocalyptic number.

212101011201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101011201220 is an abundant number, since it is smaller than the sum of its proper divisors (259511825470484).

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

212101011201220 is a wasteful number, since it uses less digits than its factorization.

212101011201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623826503559 (or 623826503557 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212101011201220 its reverse (22102110101212), we get a palindrome (234203121302432).

The spelling of 212101011201220 in words is "two hundred twelve trillion, one hundred one billion, eleven million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 623826503533 1247653007066 2495306014132 3119132517665 6238265035330 10605050560061 12476530070660 21210101120122 42420202240244 53025252800305 106050505600610 212101011201220