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120404221 = 7210124329
BaseRepresentation
bin1110010110100…
…11100011111101
322101120011112121
413023103203331
5221310413341
615540402541
72661263500
oct713234375
9271504477
10120404221
1161a68523
12343a6451
131bc38c02
1411dc3137
15a8854d1
hex72d38fd

120404221 has 12 divisors (see below), whose sum is σ = 141454620. Its totient is φ = 102177600.

The previous prime is 120404213. The next prime is 120404239. The reversal of 120404221 is 122404021.

It can be written as a sum of positive squares in 2 ways, for example, as 108056025 + 12348196 = 10395^2 + 3514^2 .

It is not a de Polignac number, because 120404221 - 23 = 120404213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120404195 and 120404204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120404261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7216 + ... + 17113.

It is an arithmetic number, because the mean of its divisors is an integer number (11787885).

Almost surely, 2120404221 is an apocalyptic number.

It is an amenable number.

120404221 is a deficient number, since it is larger than the sum of its proper divisors (21050399).

120404221 is a wasteful number, since it uses less digits than its factorization.

120404221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24444 (or 24437 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 120404221 is about 10972.8857188982. The cubic root of 120404221 is about 493.7956245614.

Adding to 120404221 its reverse (122404021), we get a palindrome (242808242).

It can be divided in two parts, 12040 and 4221, that added together give a palindrome (16261).

The spelling of 120404221 in words is "one hundred twenty million, four hundred four thousand, two hundred twenty-one".

Divisors: 1 7 49 101 707 4949 24329 170303 1192121 2457229 17200603 120404221