1111352901120 has 1920 divisors, whose sum is σ = 5090914160640. Its totient is φ = 224811417600.

The previous prime is 1111352901101. The next prime is 1111352901121. The reversal of 1111352901120 is 211092531111.

It is a happy number.

1111352901120 is a `hidden beast` number, since 1 + 1 + 1 + 13 + 529 + 0 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111352901121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2400330009 + ... + 2400330471.

It is an arithmetic number, because the mean of its divisors is an integer number (2651517792).

Almost surely, 2^{1111352901120} is an apocalyptic number.

1111352901120 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 1111352901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545457080320).

1111352901120 is an abundant number, since it is smaller than the sum of its proper divisors (3979561259520).

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

1111352901120 is a wasteful number, since it uses less digits than its factorization.

1111352901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 27.

The spelling of 1111352901120 in words is "one trillion, one hundred eleven billion, three hundred fifty-two million, nine hundred one thousand, one hundred twenty".