1121949375120 has 320 divisors, whose sum is σ = 4419122158080. Its totient is φ = 256296960000.

The previous prime is 1121949375103. The next prime is 1121949375143. The reversal of 1121949375120 is 215739491211.

1121949375120 is a `hidden beast` number, since 1 + 1 + 219 + 49 + 375 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 27210520 + ... + 27251720.

It is an arithmetic number, because the mean of its divisors is an integer number (13809756744).

Almost surely, 2^{1121949375120} is an apocalyptic number.

1121949375120 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 1121949375120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209561079040).

1121949375120 is an abundant number, since it is smaller than the sum of its proper divisors (3297172782960).

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

1121949375120 is a wasteful number, since it uses less digits than its factorization.

1121949375120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43031 (or 43019 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 1121949375120 in words is "one trillion, one hundred twenty-one billion, nine hundred forty-nine million, three hundred seventy-five thousand, one hundred twenty".