1001002112000 has 352 divisors, whose sum is σ = 2751671070720. Its totient is φ = 360345600000.

The previous prime is 1001002111951. The next prime is 1001002112137. The reversal of 1001002112000 is 2112001001.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142204481 + ... + 142211519.

It is an arithmetic number, because the mean of its divisors is an integer number (7817247360).

Almost surely, 2^{1001002112000} is an apocalyptic number.

1001002112000 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 1001002112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375835535360).

1001002112000 is an abundant number, since it is smaller than the sum of its proper divisors (1750668958720).

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

1001002112000 is a wasteful number, since it uses less digits than its factorization.

1001002112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7186 (or 7158 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001002112000 its reverse (2112001001), we get a palindrome (1003114113001).

The spelling of 1001002112000 in words is "one trillion, one billion, two million, one hundred twelve thousand".