120221320121953 has 2 divisors, whose sum is σ = 120221320121954. Its totient is φ = 120221320121952.

The previous prime is 120221320121923. The next prime is 120221320122011. The reversal of 120221320121953 is 359121023122021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85955668627984 + 34265651493969 = 9271228^2 + 5853687^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-120221320121953 is a prime.

It is not a weakly prime, because it can be changed into another prime (120221320121923) 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 as a sum of consecutive naturals, namely, 60110660060976 + 60110660060977.

It is an arithmetic number, because the mean of its divisors is an integer number (60110660060977).

Almost surely, 2^{120221320121953} is an apocalyptic number.

It is an amenable number.

120221320121953 is a deficient number, since it is larger than the sum of its proper divisors (1).

120221320121953 is an equidigital number, since it uses as much as digits as its factorization.

120221320121953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 34.

Adding to 120221320121953 its reverse (359121023122021), we get a palindrome (479342343243974).

The spelling of 120221320121953 in words is "one hundred twenty trillion, two hundred twenty-one billion, three hundred twenty million, one hundred twenty-one thousand, nine hundred fifty-three".