1111011021120 has 896 divisors, whose sum is σ = 4783480676352. Its totient is φ = 210972672000.

The previous prime is 1111011021119. The next prime is 1111011021137. The reversal of 1111011021120 is 211201101111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1111011021096 and 1111011021105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97051237 + ... + 97062683.

It is an arithmetic number, because the mean of its divisors is an integer number (5338706112).

Almost surely, 2^{1111011021120} is an apocalyptic number.

1111011021120 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 1111011021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391740338176).

1111011021120 is an abundant number, since it is smaller than the sum of its proper divisors (3672469655232).

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

1111011021120 is a wasteful number, since it uses less digits than its factorization.

1111011021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11599 (or 11589 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1111011021120 its reverse (211201101111), we get a palindrome (1322212122231).

The spelling of 1111011021120 in words is "one trillion, one hundred eleven billion, eleven million, twenty-one thousand, one hundred twenty".