1122111010000 has 200 divisors, whose sum is σ = 2905076534184. Its totient is φ = 418252800000.

The previous prime is 1122111009989. The next prime is 1122111010001. The reversal of 1122111010000 is 101112211.

It can be written as a sum of positive squares in 20 ways, for example, as 574576128064 + 547534881936 = 758008^2 + 739956^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122111010001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17137324 + ... + 17202676.

Almost surely, 2^{1122111010000} is an apocalyptic number.

1122111010000 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 1122111010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452538267092).

1122111010000 is an abundant number, since it is smaller than the sum of its proper divisors (1782965524184).

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

1122111010000 is a wasteful number, since it uses less digits than its factorization.

1122111010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65499 (or 65478 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1122111010000 its reverse (101112211), we get a palindrome (1122212122211).

It can be divided in two parts, 112211 and 1010000, that added together give a palindrome (1122211).

The spelling of 1122111010000 in words is "one trillion, one hundred twenty-two billion, one hundred eleven million, ten thousand".