1001211122000 has 80 divisors (see below), whose sum is σ = 2427318004800. Its totient is φ = 399427459200.

The previous prime is 1001211121997. The next prime is 1001211122003. The reversal of 1001211122000 is 2211121001.

It is an interprime number because it is at equal distance from previous prime (1001211121997) and next prime (1001211122003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001211122003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97571 + ... + 1418429.

It is an arithmetic number, because the mean of its divisors is an integer number (30341475060).

Almost surely, 2^{1001211122000} is an apocalyptic number.

1001211122000 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 1001211122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213659002400).

1001211122000 is an abundant number, since it is smaller than the sum of its proper divisors (1426106882800).

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

1001211122000 is a wasteful number, since it uses less digits than its factorization.

1001211122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321261 (or 1321245 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001211122000 its reverse (2211121001), we get a palindrome (1003422243001).

Subtracting from 1001211122000 its reverse (2211121001), we obtain a palindrome (999000000999).

It can be divided in two parts, 1001211 and 122000, that added together give a palindrome (1123211).

The spelling of 1001211122000 in words is "one trillion, one billion, two hundred eleven million, one hundred twenty-two thousand".