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120210133221 = 3244029303361
BaseRepresentation
bin110111111110100010…
…1010001000011100101
3102111021122120111002100
41233331011101003211
53432142243230341
6131120200202313
711453630162463
oct1577505210345
9374248514070
10120210133221
1146a87539342
121b36a169399
13b4498aba59
145b65205833
1531d86623b6
hex1bfd1510e5

120210133221 has 12 divisors (see below), whose sum is σ = 173641375180. Its totient is φ = 80138004480.

The previous prime is 120210133217. The next prime is 120210133243. The reversal of 120210133221 is 122331012021.

120210133221 is a `hidden beast` number, since 120 + 210 + 1 + 332 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28818797121 + 91391336100 = 169761^2 + 302310^2 .

It is not a de Polignac number, because 120210133221 - 22 = 120210133217 is a prime.

It is a super-2 number, since 2×1202101332212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120210133194 and 120210133203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120210133271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244581 + ... + 547941.

Almost surely, 2120210133221 is an apocalyptic number.

It is an amenable number.

120210133221 is a deficient number, since it is larger than the sum of its proper divisors (53431241959).

120210133221 is a wasteful number, since it uses less digits than its factorization.

120210133221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347396 (or 347393 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120210133221 its reverse (122331012021), we get a palindrome (242541145242).

The spelling of 120210133221 in words is "one hundred twenty billion, two hundred ten million, one hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 44029 132087 303361 396261 910083 2730249 13356681469 40070044407 120210133221