Search a number
-
+
120120000021 = 3271979678511
BaseRepresentation
bin110111111011110110…
…1011011111000010101
3102111001100222020120200
41233313231123320111
53432001210000041
6131103220251113
711451454103460
oct1576755337025
9374040866520
10120120000021
1146a4067699a
121b343b40a99
13b4340112b8
145b572622d7
1531d07ab1b6
hex1bf7b5be15

120120000021 has 24 divisors (see below), whose sum is σ = 199299919104. Its totient is φ = 68291566560.

The previous prime is 120120000017. The next prime is 120120000083. The reversal of 120120000021 is 120000021021.

It is not a de Polignac number, because 120120000021 - 22 = 120120000017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120119999958 and 120120000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120000421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4826845 + ... + 4851666.

It is an arithmetic number, because the mean of its divisors is an integer number (8304163296).

Almost surely, 2120120000021 is an apocalyptic number.

It is an amenable number.

120120000021 is a deficient number, since it is larger than the sum of its proper divisors (79179919083).

120120000021 is a wasteful number, since it uses less digits than its factorization.

120120000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9678721 (or 9678718 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120120000021 its reverse (120000021021), we get a palindrome (240120021042).

The spelling of 120120000021 in words is "one hundred twenty billion, one hundred twenty million, twenty-one", and thus it is an aban number.

Divisors: 1 3 7 9 21 63 197 591 1379 1773 4137 12411 9678511 29035533 67749577 87106599 203248731 609746193 1906666667 5720000001 13346666669 17160000003 40040000007 120120000021