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1205216122 = 211172189559
BaseRepresentation
bin100011111010110…
…0010001101111010
310002222211022201011
41013311202031322
54432013403442
6315331544134
741603111425
oct10765421572
93088738634
101205216122
11569349790
1229775b04a
131628cc746
14b60ca9bc
1570c1b117
hex47d6237a

1205216122 has 24 divisors (see below), whose sum is σ = 2095017120. Its totient is φ = 515597760.

The previous prime is 1205216093. The next prime is 1205216137. The reversal of 1205216122 is 2216125021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1205216093 and 1205216102.

It is an unprimeable number.

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, 88422 + ... + 101137.

It is an arithmetic number, because the mean of its divisors is an integer number (87292380).

Almost surely, 21205216122 is an apocalyptic number.

1205216122 is a deficient number, since it is larger than the sum of its proper divisors (889800998).

1205216122 is a wasteful number, since it uses less digits than its factorization.

1205216122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189606 (or 189589 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1205216122 is about 34716.2227496022. Note that the first 3 decimals coincide. The cubic root of 1205216122 is about 1064.1960538391.

The spelling of 1205216122 in words is "one billion, two hundred five million, two hundred sixteen thousand, one hundred twenty-two".

Divisors: 1 2 11 17 22 34 187 289 374 578 3179 6358 189559 379118 2085149 3222503 4170298 6445006 35447533 54782551 70895066 109565102 602608061 1205216122