1121070495168 has 336 divisors, whose sum is σ = 3654667336320. Its totient is φ = 325712627712.

The previous prime is 1121070495163. The next prime is 1121070495221. The reversal of 1121070495168 is 8615940701211.

1121070495168 is a `hidden beast` number, since 1 + 1 + 21 + 0 + 70 + 49 + 516 + 8 = 666.

It is a super-2 number, since 2×1121070495168² (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 (1121070495163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43664671 + ... + 43690337.

It is an arithmetic number, because the mean of its divisors is an integer number (10876986120).

Almost surely, 2^{1121070495168} is an apocalyptic number.

1121070495168 is a gapful number since it is divisible by the number (18) 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 1121070495168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827333668160).

1121070495168 is an abundant number, since it is smaller than the sum of its proper divisors (2533596841152).

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

1121070495168 is a wasteful number, since it uses less digits than its factorization.

1121070495168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26024 (or 26011 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 1121070495168 in words is "one trillion, one hundred twenty-one billion, seventy million, four hundred ninety-five thousand, one hundred sixty-eight".