1002112000 has 88 divisors (see below), whose sum is σ = 2500369560. Its totient is φ = 400793600.

The previous prime is 1002111973. The next prime is 1002112019. The reversal of 1002112000 is 2112001.

It can be written as a sum of positive squares in 4 ways, for example, as 167133184 + 834978816 = 12928^2 + 28896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124086 + ... + 131914.

Almost surely, 2^1002112000 is an apocalyptic number.

1002112000 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 1002112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250184780).

1002112000 is an abundant number, since it is smaller than the sum of its proper divisors (1498257560).

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

1002112000 is an frugal number, since it uses more digits than its factorization.

1002112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7864 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1002112000 is about 31656.1526405216. The cubic root of 1002112000 is about 1000.7035049647.

Adding to 1002112000 its reverse (2112001), we get a palindrome (1004224001).

Subtracting from 1002112000 its reverse (2112001), we obtain a palindrome (999999999).

The spelling of 1002112000 in words is "one billion, two million, one hundred twelve thousand".