221234020400 has 60 divisors (see below), whose sum is σ = 541543365792. Its totient is φ = 86823909120.

The previous prime is 221234020391. The next prime is 221234020411. The reversal of 221234020400 is 4020432122.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 5196584 + ... + 5238983.

Almost surely, 2^221234020400 is an apocalyptic number.

221234020400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221234020400 is an abundant number, since it is smaller than the sum of its proper divisors (320309345392).

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

221234020400 is a wasteful number, since it uses less digits than its factorization.

221234020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10435638 (or 10435627 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 221234020400 its reverse (4020432122), we get a palindrome (225254452522).

The spelling of 221234020400 in words is "two hundred twenty-one billion, two hundred thirty-four million, twenty thousand, four hundred".