120420513311521 has 2 divisors, whose sum is σ = 120420513311522. Its totient is φ = 120420513311520.

The previous prime is 120420513311489. The next prime is 120420513311569. The reversal of 120420513311521 is 125113315024021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86526738900625 + 33893774410896 = 9301975^2 + 5821836^2 .

It is a cyclic number.

It is not a de Polignac number, because 120420513311521 - 2⁵ = 120420513311489 is a prime.

It is a super-4 number, since 4×120420513311521⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (120420513311821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60210256655760 + 60210256655761.

It is an arithmetic number, because the mean of its divisors is an integer number (60210256655761).

Almost surely, 2^{120420513311521} is an apocalyptic number.

It is an amenable number.

120420513311521 is a deficient number, since it is larger than the sum of its proper divisors (1).

120420513311521 is an equidigital number, since it uses as much as digits as its factorization.

120420513311521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 120420513311521 its reverse (125113315024021), we get a palindrome (245533828335542).

The spelling of 120420513311521 in words is "one hundred twenty trillion, four hundred twenty billion, five hundred thirteen million, three hundred eleven thousand, five hundred twenty-one".