201221444400 has 60 divisors (see below), whose sum is σ = 644579364072. Its totient is φ = 53659051520.

The previous prime is 201221444351. The next prime is 201221444423. The reversal of 201221444400 is 4444122102.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83841069 + ... + 83843468.

Almost surely, 2^201221444400 is an apocalyptic number.

201221444400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221444400 is an abundant number, since it is smaller than the sum of its proper divisors (443357919672).

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

201221444400 is a wasteful number, since it uses less digits than its factorization.

201221444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167684558 (or 167684547 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 201221444400 its reverse (4444122102), we get a palindrome (205665566502).

The spelling of 201221444400 in words is "two hundred one billion, two hundred twenty-one million, four hundred forty-four thousand, four hundred".