221312342400 has 96 divisors (see below), whose sum is σ = 728947559400. Its totient is φ = 59016622080.

The previous prime is 221312342393. The next prime is 221312342431. The reversal of 221312342400 is 4243213122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 11517085 + ... + 11536284.

Almost surely, 2^221312342400 is an apocalyptic number.

221312342400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221312342400 is an abundant number, since it is smaller than the sum of its proper divisors (507635217000).

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

221312342400 is a wasteful number, since it uses less digits than its factorization.

221312342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23053396 (or 23053379 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 221312342400 its reverse (4243213122), we get a palindrome (225555555522).

The spelling of 221312342400 in words is "two hundred twenty-one billion, three hundred twelve million, three hundred forty-two thousand, four hundred".