82201422250000 has 105 divisors (see below), whose sum is σ = 199090000697403. Its totient is φ = 32878755600000.

The previous prime is 82201422249983. The next prime is 82201422250067. The reversal of 82201422250000 is 5222410228.

The square root of 82201422250000 is 9066500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 62299259568144 + 19902162681856 = 7892988^2 + 4461184^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 4533240934 + ... + 4533259066.

Almost surely, 2^{82201422250000} is an apocalyptic number.

82201422250000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

82201422250000 is the 9066500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82201422250000

82201422250000 is an abundant number, since it is smaller than the sum of its proper divisors (116888578447403).

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

82201422250000 is an frugal number, since it uses more digits than its factorization.

82201422250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36304 (or 18140 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 82201422250000 its reverse (5222410228), we get a palindrome (82206644660228).

The spelling of 82201422250000 in words is "eighty-two trillion, two hundred one billion, four hundred twenty-two million, two hundred fifty thousand".