224002141120 has 112 divisors (see below), whose sum is σ = 552356414208. Its totient is φ = 86435758080.

The previous prime is 224002141093. The next prime is 224002141147. The reversal of 224002141120 is 21141200422.

It is an interprime number because it is at equal distance from previous prime (224002141093) and next prime (224002141147).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3109024 + ... + 3180256.

Almost surely, 2^224002141120 is an apocalyptic number.

224002141120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224002141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276178207104).

224002141120 is an abundant number, since it is smaller than the sum of its proper divisors (328354273088).

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

224002141120 is a wasteful number, since it uses less digits than its factorization.

224002141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71598 (or 71588 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 224002141120 its reverse (21141200422), we get a palindrome (245143341542).

The spelling of 224002141120 in words is "two hundred twenty-four billion, two million, one hundred forty-one thousand, one hundred twenty".