201222542400 has 672 divisors, whose sum is σ = 736711597440. Its totient is φ = 47677440000.

The previous prime is 201222542399. The next prime is 201222542461. The reversal of 201222542400 is 4245222102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 517281406 + ... + 517281794.

It is an arithmetic number, because the mean of its divisors is an integer number (1096297020).

Almost surely, 2^201222542400 is an apocalyptic number.

201222542400 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 201222542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368355798720).

201222542400 is an abundant number, since it is smaller than the sum of its proper divisors (535489055040).

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

201222542400 is a wasteful number, since it uses less digits than its factorization.

201222542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 201222542400 its reverse (4245222102), we get a palindrome (205467764502).

The spelling of 201222542400 in words is "two hundred one billion, two hundred twenty-two million, five hundred forty-two thousand, four hundred".