1001120020000 has 240 divisors, whose sum is σ = 2557910456640. Its totient is φ = 385110656000.

The previous prime is 1001120019959. The next prime is 1001120020037. The reversal of 1001120020000 is 200211001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152536719 + ... + 152543281.

It is an arithmetic number, because the mean of its divisors is an integer number (10657960236).

Almost surely, 2^{1001120020000} is an apocalyptic number.

1001120020000 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 1001120020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278955228320).

1001120020000 is an abundant number, since it is smaller than the sum of its proper divisors (1556790436640).

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

1001120020000 is an equidigital number, since it uses as much as digits as its factorization.

1001120020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6885 (or 6862 counting only the distinct ones).

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

Adding to 1001120020000 its reverse (200211001), we get a palindrome (1001320231001).

The spelling of 1001120020000 in words is "one trillion, one billion, one hundred twenty million, twenty thousand".