1121115436740 has 288 divisors, whose sum is σ = 3758782285440. Its totient is φ = 268790151168.

The previous prime is 1121115436717. The next prime is 1121115436747. The reversal of 1121115436740 is 476345111211.

1121115436740 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 11 + 543 + 67 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1121115436695 and 1121115436704.

It is not an unprimeable number, because it can be changed into a prime (1121115436747) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13913247 + ... + 13993593.

It is an arithmetic number, because the mean of its divisors is an integer number (13051327380).

Almost surely, 2^{1121115436740} is an apocalyptic number.

1121115436740 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 1121115436740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879391142720).

1121115436740 is an abundant number, since it is smaller than the sum of its proper divisors (2637666848700).

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

1121115436740 is a wasteful number, since it uses less digits than its factorization.

1121115436740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80531 (or 80526 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1121115436740 in words is "one trillion, one hundred twenty-one billion, one hundred fifteen million, four hundred thirty-six thousand, seven hundred forty".