1114355141120 has 320 divisors, whose sum is σ = 2981854149120. Its totient is φ = 396758089728.

The previous prime is 1114355141113. The next prime is 1114355141131. The reversal of 1114355141120 is 211415534111.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1114355141120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113047232 + ... + 113057088.

It is an arithmetic number, because the mean of its divisors is an integer number (9318294216).

Almost surely, 2^{1114355141120} is an apocalyptic number.

1114355141120 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 1114355141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490927074560).

1114355141120 is an abundant number, since it is smaller than the sum of its proper divisors (1867499008000).

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

1114355141120 is an equidigital number, since it uses as much as digits as its factorization.

1114355141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10015 (or 9999 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 29.

The spelling of 1114355141120 in words is "one trillion, one hundred fourteen billion, three hundred fifty-five million, one hundred forty-one thousand, one hundred twenty".