223120401024 has 128 divisors (see below), whose sum is σ = 627741766080. Its totient is φ = 69974507520.

The previous prime is 223120400983. The next prime is 223120401029. The reversal of 223120401024 is 420104021322.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×223120401024³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (223120401029) 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, 34745334 + ... + 34751754.

Almost surely, 2^223120401024 is an apocalyptic number.

223120401024 is a gapful number since it is divisible by the number (24) 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 223120401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313870883040).

223120401024 is an abundant number, since it is smaller than the sum of its proper divisors (404621365056).

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

223120401024 is a wasteful number, since it uses less digits than its factorization.

223120401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11778 (or 11766 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 223120401024 its reverse (420104021322), we get a palindrome (643224422346).

The spelling of 223120401024 in words is "two hundred twenty-three billion, one hundred twenty million, four hundred one thousand, twenty-four".