2212505453200 has 480 divisors, whose sum is σ = 6553051435008. Its totient is φ = 700600320000.

The previous prime is 2212505453159. The next prime is 2212505453231. The reversal of 2212505453200 is 23545052122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2035423057 + ... + 2035424143.

Almost surely, 2^{2212505453200} is an apocalyptic number.

2212505453200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212505453200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276525717504).

2212505453200 is an abundant number, since it is smaller than the sum of its proper divisors (4340545981808).

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

2212505453200 is a wasteful number, since it uses less digits than its factorization.

2212505453200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 2212505453200 in words is "two trillion, two hundred twelve billion, five hundred five million, four hundred fifty-three thousand, two hundred".