1011122120000 has 140 divisors (see below), whose sum is σ = 2593714261380. Its totient is φ = 390501888000.

The previous prime is 1011122119967. The next prime is 1011122120003. The reversal of 1011122120000 is 212211101.

It can be written as a sum of positive squares in 10 ways, for example, as 793339364416 + 217782755584 = 890696^2 + 466672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011122120003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 724172 + ... + 1595828.

Almost surely, 2^{1011122120000} is an apocalyptic number.

1011122120000 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 1011122120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296857130690).

1011122120000 is an abundant number, since it is smaller than the sum of its proper divisors (1582592141380).

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

1011122120000 is an frugal number, since it uses more digits than its factorization.

1011122120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871718 (or 871693 counting only the distinct ones).

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

Adding to 1011122120000 its reverse (212211101), we get a palindrome (1011334331101).

The spelling of 1011122120000 in words is "one trillion, eleven billion, one hundred twenty-two million, one hundred twenty thousand".