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120000580921 = 132266472
BaseRepresentation
bin110111111000010010…
…1111000110100111001
3102110202001021010101001
41233300211320310321
53431230122042141
6131043312525001
711445504052024
oct1576045706471
9373661233331
10120000580921
114698a221621
121b30bb50761
13b41535b900
145b454581bb
1531c506ca31
hex1bf0978d39

120000580921 has 9 divisors (see below), whose sum is σ = 129946334031. Its totient is φ = 110765610072.

The previous prime is 120000580907. The next prime is 120000580957. The reversal of 120000580921 is 129085000021.

The square root of 120000580921 is 346411.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17751565225 + 102249015696 = 133235^2 + 319764^2 .

It is not a de Polignac number, because 120000580921 - 27 = 120000580793 is a prime.

It is a super-3 number, since 3×1200005809213 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120000580921.

It is not an unprimeable number, because it can be changed into a prime (120000580961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4490020 + ... + 4516666.

It is an arithmetic number, because the mean of its divisors is an integer number (14438481559).

Almost surely, 2120000580921 is an apocalyptic number.

120000580921 is the 346411-st square number.

120000580921 is the 173206-th centered octagonal number.

It is an amenable number.

120000580921 is a deficient number, since it is larger than the sum of its proper divisors (9945753110).

120000580921 is an frugal number, since it uses more digits than its factorization.

120000580921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53320 (or 26660 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

Adding to 120000580921 its reverse (129085000021), we get a palindrome (249085580942).

The spelling of 120000580921 in words is "one hundred twenty billion, five hundred eighty thousand, nine hundred twenty-one".

Divisors: 1 13 169 26647 346411 4503343 710062609 9230813917 120000580921