223121342400 has 168 divisors, whose sum is σ = 798571757184. Its totient is φ = 54090009600.

The previous prime is 223121342383. The next prime is 223121342407. The reversal of 223121342400 is 4243121322.

It is a happy number.

It is a super-3 number, since 3×223121342400³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223121342407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2060092 + ... + 2165691.

Almost surely, 2^223121342400 is an apocalyptic number.

223121342400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223121342400 is an abundant number, since it is smaller than the sum of its proper divisors (575450414784).

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

223121342400 is a wasteful number, since it uses less digits than its factorization.

223121342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225819 (or 4225804 counting only the distinct ones).

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

Adding to 223121342400 its reverse (4243121322), we get a palindrome (227364463722).

The spelling of 223121342400 in words is "two hundred twenty-three billion, one hundred twenty-one million, three hundred forty-two thousand, four hundred".