1111142120088 has 768 divisors, whose sum is σ = 3871854120960. Its totient is φ = 258439864320.

The previous prime is 1111142120087. The next prime is 1111142120093. The reversal of 1111142120088 is 8800212411111.

It is a super-2 number, since 2×1111142120088² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111142120087) 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 191 ways as a sum of consecutive naturals, for example, 1701595570 + ... + 1701596222.

It is an arithmetic number, because the mean of its divisors is an integer number (5041476720).

Almost surely, 2^{1111142120088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111142120088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935927060480).

1111142120088 is an abundant number, since it is smaller than the sum of its proper divisors (2760712000872).

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

1111142120088 is a wasteful number, since it uses less digits than its factorization.

1111142120088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 30.

Adding to 1111142120088 its reverse (8800212411111), we get a palindrome (9911354531199).

The spelling of 1111142120088 in words is "one trillion, one hundred eleven billion, one hundred forty-two million, one hundred twenty thousand, eighty-eight".