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120230013121 = 1711372138677
BaseRepresentation
bin110111111111001000…
…1000110100011000001
3102111100000222111011221
41233332101012203001
53432212340404441
6131122150235041
711454261151411
oct1577621064301
9374300874157
10120230013121
1146a97787409
121b374955a81
13b450a4c5ca
145b67adc641
1531da28c8d1
hex1bfe4468c1

120230013121 has 16 divisors (see below), whose sum is σ = 128461544784. Its totient is φ = 112127791104.

The previous prime is 120230013107. The next prime is 120230013139. The reversal of 120230013121 is 121310032021.

It can be written as a sum of positive squares in 8 ways, for example, as 1811438721 + 118418574400 = 42561^2 + 344120^2 .

It is a cyclic number.

It is not a de Polignac number, because 120230013121 - 213 = 120230004929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120230013095 and 120230013104.

It is not an unprimeable number, because it can be changed into a prime (120230013521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13851835 + ... + 13860511.

It is an arithmetic number, because the mean of its divisors is an integer number (8028846549).

Almost surely, 2120230013121 is an apocalyptic number.

It is an amenable number.

120230013121 is a deficient number, since it is larger than the sum of its proper divisors (8231531663).

120230013121 is a wasteful number, since it uses less digits than its factorization.

120230013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16020.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 120230013121 its reverse (121310032021), we get a palindrome (241540045142).

The spelling of 120230013121 in words is "one hundred twenty billion, two hundred thirty million, thirteen thousand, one hundred twenty-one".

Divisors: 1 17 113 1921 7213 8677 122621 147509 815069 980501 13856173 16668517 62587201 1063982417 7072353713 120230013121