1121667870960 has 1600 divisors, whose sum is σ = 4929444495360. Its totient is φ = 233003796480.

The previous prime is 1121667870943. The next prime is 1121667871007. The reversal of 1121667870960 is 690787661211.

It is a super-2 number, since 2×1121667870960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1121667870897 and 1121667870906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8562350095 + ... + 8562350225.

Almost surely, 2^{1121667870960} is an apocalyptic number.

1121667870960 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 1121667870960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464722247680).

1121667870960 is an abundant number, since it is smaller than the sum of its proper divisors (3807776624400).

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

1121667870960 is a wasteful number, since it uses less digits than its factorization.

1121667870960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 1121667870960 in words is "one trillion, one hundred twenty-one billion, six hundred sixty-seven million, eight hundred seventy thousand, nine hundred sixty".