Search a number
-
+
120032221212 = 223229322375087
BaseRepresentation
bin110111111001001111…
…0100101100000011100
3102110211020210121200200
41233302132211200130
53431311222034322
6131050403023500
711446340021541
oct1576236454034
9373736717620
10120032221212
11469a6072422
121b31a66ab90
13b41ba89387
145b49732bc8
1531c7c1c8ac
hex1bf27a581c

120032221212 has 72 divisors (see below), whose sum is σ = 304646299776. Its totient is φ = 39848525184.

The previous prime is 120032221189. The next prime is 120032221217. The reversal of 120032221212 is 212122230021.

120032221212 is a `hidden beast` number, since 1 + 200 + 32 + 221 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120032221217) 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, 23593333 + ... + 23598419.

It is an arithmetic number, because the mean of its divisors is an integer number (4231198608).

Almost surely, 2120032221212 is an apocalyptic number.

120032221212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120032221212 is an abundant number, since it is smaller than the sum of its proper divisors (184614078564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120032221212 is a wasteful number, since it uses less digits than its factorization.

120032221212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7627 (or 7622 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120032221212 its reverse (212122230021), we get a palindrome (332154451233).

The spelling of 120032221212 in words is "one hundred twenty billion, thirty-two million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 293 586 879 1172 1758 2237 2637 3516 4474 5087 5274 6711 8948 10174 10548 13422 15261 20133 20348 26844 30522 40266 45783 61044 80532 91566 183132 655441 1310882 1490491 1966323 2621764 2980982 3932646 4471473 5898969 5961964 7865292 8942946 11379619 11797938 13414419 17885892 22759238 23595876 26828838 34138857 45518476 53657676 68277714 102416571 136555428 204833142 409666284 3334228367 6668456734 10002685101 13336913468 20005370202 30008055303 40010740404 60016110606 120032221212