221220334210400 has 144 divisors (see below), whose sum is σ = 621347048431200. Its totient is φ = 75337931366400.

The previous prime is 221220334210333. The next prime is 221220334210427. The reversal of 221220334210400 is 4012433022122.

It is a super-2 number, since 2×221220334210400² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221220334210400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131728121 + ... + 133396920.

It is an arithmetic number, because the mean of its divisors is an integer number (4314910058550).

Almost surely, 2^{221220334210400} is an apocalyptic number.

221220334210400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221220334210400 is an abundant number, since it is smaller than the sum of its proper divisors (400126714220800).

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

221220334210400 is a wasteful number, since it uses less digits than its factorization.

221220334210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265125217 (or 265125204 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 221220334210400 its reverse (4012433022122), we get a palindrome (225232767232522).

The spelling of 221220334210400 in words is "two hundred twenty-one trillion, two hundred twenty billion, three hundred thirty-four million, two hundred ten thousand, four hundred".