1121453951520 has 384 divisors, whose sum is σ = 4170025746432. Its totient is φ = 247911321600.

The previous prime is 1121453951503. The next prime is 1121453951537. The reversal of 1121453951520 is 251593541211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1121453951503) and next prime (1121453951537).

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, 303832875 + ... + 303836565.

It is an arithmetic number, because the mean of its divisors is an integer number (10859442048).

Almost surely, 2^{1121453951520} is an apocalyptic number.

1121453951520 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 1121453951520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085012873216).

1121453951520 is an abundant number, since it is smaller than the sum of its proper divisors (3048571794912).

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

1121453951520 is a wasteful number, since it uses less digits than its factorization.

1121453951520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6664 (or 6656 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 39.

The spelling of 1121453951520 in words is "one trillion, one hundred twenty-one billion, four hundred fifty-three million, nine hundred fifty-one thousand, five hundred twenty".