1000223658672 has 480 divisors, whose sum is σ = 3264675047424. Its totient is φ = 262492876800.

The previous prime is 1000223658649. The next prime is 1000223658701. The reversal of 1000223658672 is 2768563220001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110602983 + ... + 110612025.

Almost surely, 2^{1000223658672} is an apocalyptic number.

1000223658672 is a gapful number since it is divisible by the number (12) 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 1000223658672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632337523712).

1000223658672 is an abundant number, since it is smaller than the sum of its proper divisors (2264451388752).

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

1000223658672 is a wasteful number, since it uses less digits than its factorization.

1000223658672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9177 (or 9164 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

Adding to 1000223658672 its reverse (2768563220001), we get a palindrome (3768786878673).

The spelling of 1000223658672 in words is "one trillion, two hundred twenty-three million, six hundred fifty-eight thousand, six hundred seventy-two".