45221306212200 has 96 divisors (see below), whose sum is σ = 140239621589760. Its totient is φ = 12054406617600.

The previous prime is 45221306212193. The next prime is 45221306212237. The reversal of 45221306212200 is 221260312254.

45221306212200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45221306212200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12829656 + ... + 15970055.

It is an arithmetic number, because the mean of its divisors is an integer number (1460829391560).

Almost surely, 2^{45221306212200} is an apocalyptic number.

45221306212200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45221306212200 is an abundant number, since it is smaller than the sum of its proper divisors (95018315377560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45221306212200 is a wasteful number, since it uses less digits than its factorization.

45221306212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28802347 (or 28802338 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 45221306212200 its reverse (221260312254), we get a palindrome (45442566524454).

The spelling of 45221306212200 in words is "forty-five trillion, two hundred twenty-one billion, three hundred six million, two hundred twelve thousand, two hundred".