Search a number
-
+
120012201221 = 11109271433853
BaseRepresentation
bin110111111000101001…
…0001101110100000101
3102110202212010111102112
41233301102031310011
53431241110414341
6131044405550405
711446004610323
oct1576122156405
9373685114375
10120012201221
1146995839080
121b313a15405
13b417899b23
145b46c00d13
1531c60b5aeb
hex1bf148dd05

120012201221 has 32 divisors (see below), whose sum is σ = 133073149440. Its totient is φ = 107327462400.

The previous prime is 120012201181. The next prime is 120012201229. The reversal of 120012201221 is 122102210021.

It is a cyclic number.

It is not a de Polignac number, because 120012201221 - 26 = 120012201157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120012201196 and 120012201205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120012201229) 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 31 ways as a sum of consecutive naturals, for example, 140693831 + ... + 140694683.

It is an arithmetic number, because the mean of its divisors is an integer number (4158535920).

Almost surely, 2120012201221 is an apocalyptic number.

120012201221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120012201221 is a deficient number, since it is larger than the sum of its proper divisors (13060948219).

120012201221 is a wasteful number, since it uses less digits than its factorization.

120012201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120012201221 its reverse (122102210021), we get a palindrome (242114411242).

The spelling of 120012201221 in words is "one hundred twenty billion, twelve million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 11 109 271 433 853 1199 2981 4763 9383 29539 47197 92977 117343 231163 324929 369349 519167 1022747 1290773 2542793 4062839 12790387 25196767 40259041 100093579 140694257 277164437 442849451 1101029369 10910200111 120012201221