Search a number
-
+
120012212001 = 31185920172099
BaseRepresentation
bin110111111000101001…
…0010000011100100001
3102110202212011001012210
41233301102100130201
53431241111241001
6131044410112333
711446004653623
oct1576122203441
9373685131183
10120012212001
1146995846190
121b313a1b6a9
13b4178a19c6
145b46c04c13
1531c60b8dd6
hex1bf1490721

120012212001 has 32 divisors (see below), whose sum is σ = 174936384000. Its totient is φ = 72579386880.

The previous prime is 120012211999. The next prime is 120012212029. The reversal of 120012212001 is 100212210021.

It is not a de Polignac number, because 120012212001 - 21 = 120012211999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120012212041) 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 31 ways as a sum of consecutive naturals, for example, 57174850 + ... + 57176948.

It is an arithmetic number, because the mean of its divisors is an integer number (5466762000).

Almost surely, 2120012212001 is an apocalyptic number.

120012212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120012212001 is a deficient number, since it is larger than the sum of its proper divisors (54924171999).

120012212001 is a wasteful number, since it uses less digits than its factorization.

120012212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120012212001 its reverse (100212210021), we get a palindrome (220224422022).

The spelling of 120012212001 in words is "one hundred twenty billion, twelve million, two hundred twelve thousand, one".

Divisors: 1 3 11 33 859 2017 2099 2577 6051 6297 9449 22187 23089 28347 66561 69267 1732603 1803041 4233683 5197809 5409123 12701049 19058633 19833451 46570513 57175899 59500353 139711539 3636733697 10910201091 40004070667 120012212001