221232013200 has 360 divisors, whose sum is σ = 860172433536. Its totient is φ = 52182144000.

The previous prime is 221232013183. The next prime is 221232013253. The reversal of 221232013200 is 2310232122.

221232013200 is a `hidden beast` number, since 2 + 21 + 2 + 320 + 1 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1389705 + ... + 1540695.

Almost surely, 2^221232013200 is an apocalyptic number.

221232013200 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 221232013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430086216768).

221232013200 is an abundant number, since it is smaller than the sum of its proper divisors (638940420336).

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

221232013200 is a wasteful number, since it uses less digits than its factorization.

221232013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151063 (or 151049 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221232013200 its reverse (2310232122), we get a palindrome (223542245322).

The spelling of 221232013200 in words is "two hundred twenty-one billion, two hundred thirty-two million, thirteen thousand, two hundred".