220123152212225 has 6 divisors (see below), whose sum is σ = 272952708743190. Its totient is φ = 176098521769760.

The previous prime is 220123152212213. The next prime is 220123152212231. The reversal of 220123152212225 is 522212251321022.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1048578048001 + 219074574164224 = 1024001^2 + 14801168^2 .

It is not a de Polignac number, because 220123152212225 - 2¹² = 220123152208129 is a prime.

It is a super-2 number, since 2×220123152212225² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220123152212191 and 220123152212200.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 4402463044220 + ... + 4402463044269.

It is an arithmetic number, because the mean of its divisors is an integer number (45492118123865).

Almost surely, 2^{220123152212225} is an apocalyptic number.

220123152212225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

220123152212225 is a deficient number, since it is larger than the sum of its proper divisors (52829556530965).

220123152212225 is an equidigital number, since it uses as much as digits as its factorization.

220123152212225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8804926088499 (or 8804926088494 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 220123152212225 in words is "two hundred twenty trillion, one hundred twenty-three billion, one hundred fifty-two million, two hundred twelve thousand, two hundred twenty-five".