1001202112000 has 160 divisors (see below), whose sum is σ = 2627961130080. Its totient is φ = 379402444800.

The previous prime is 1001202111989. The next prime is 1001202112061. The reversal of 1001202112000 is 2112021001.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 804322 + ... + 1627678.

It is an arithmetic number, because the mean of its divisors is an integer number (16424757063).

Almost surely, 2^{1001202112000} is an apocalyptic number.

1001202112000 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 1001202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313980565040).

1001202112000 is an abundant number, since it is smaller than the sum of its proper divisors (1626759018080).

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

1001202112000 is an frugal number, since it uses more digits than its factorization.

1001202112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823409 (or 823383 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001202112000 its reverse (2112021001), we get a palindrome (1003314133001).

Subtracting from 1001202112000 its reverse (2112021001), we obtain a palindrome (999090090999).

The spelling of 1001202112000 in words is "one trillion, one billion, two hundred two million, one hundred twelve thousand".