1000223877120 has 1152 divisors, whose sum is σ = 3674168709120. Its totient is φ = 231871610880.

The previous prime is 1000223877091. The next prime is 1000223877127. The reversal of 1000223877120 is 217783220001.

It is not an unprimeable number, because it can be changed into a prime (1000223877127) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7875778497 + ... + 7875778623.

It is an arithmetic number, because the mean of its divisors is an integer number (3189382560).

Almost surely, 2^{1000223877120} is an apocalyptic number.

1000223877120 is a gapful number since it is divisible by the number (10) 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 1000223877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837084354560).

1000223877120 is an abundant number, since it is smaller than the sum of its proper divisors (2673944832000).

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

1000223877120 is a wasteful number, since it uses less digits than its factorization.

1000223877120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 1000223877120 in words is "one trillion, two hundred twenty-three million, eight hundred seventy-seven thousand, one hundred twenty".