224144001120 has 96 divisors (see below), whose sum is σ = 760365440352. Its totient is φ = 55173906432.

The previous prime is 224144001113. The next prime is 224144001121. The reversal of 224144001120 is 21100441422.

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

It is a super-2 number, since 2×224144001120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224144001121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17954017 + ... + 17966496.

It is an arithmetic number, because the mean of its divisors is an integer number (7920473337).

Almost surely, 2^224144001120 is an apocalyptic number.

224144001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224144001120 is an abundant number, since it is smaller than the sum of its proper divisors (536221439232).

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

224144001120 is a wasteful number, since it uses less digits than its factorization.

224144001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35920544 (or 35920536 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 224144001120 its reverse (21100441422), we get a palindrome (245244442542).

The spelling of 224144001120 in words is "two hundred twenty-four billion, one hundred forty-four million, one thousand, one hundred twenty".