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120033440221 = 23371914431667
BaseRepresentation
bin110111111001010001…
…1001111000111011101
3102110211100002112212011
41233302203033013131
53431312030041341
6131050445111221
711446353256522
oct1576243170735
9373740075764
10120033440221
11469a6825272
121b31ab58511
13b41c0c5196
145b4996d149
1531c7dadb81
hex1bf28cf1dd

120033440221 has 32 divisors (see below), whose sum is σ = 129680621568. Its totient is φ = 110809258560.

The previous prime is 120033440209. The next prime is 120033440231. The reversal of 120033440221 is 122044330021.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-120033440221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120033440192 and 120033440201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120033440231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72004830 + ... + 72006496.

It is an arithmetic number, because the mean of its divisors is an integer number (4052519424).

Almost surely, 2120033440221 is an apocalyptic number.

It is an amenable number.

120033440221 is a deficient number, since it is larger than the sum of its proper divisors (9647181347).

120033440221 is a wasteful number, since it uses less digits than its factorization.

120033440221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 120033440221 its reverse (122044330021), we get a palindrome (242077770242).

The spelling of 120033440221 in words is "one hundred twenty billion, thirty-three million, four hundred forty thousand, two hundred twenty-one".

Divisors: 1 23 37 191 443 851 1667 4393 7067 10189 16391 38341 61679 84613 162541 318397 376993 738481 1418617 1946099 3130681 7323131 11780689 16985063 27323797 72005663 141049871 270955847 628447331 3244147033 5218845227 120033440221