1152167221920 has 768 divisors, whose sum is σ = 4473672892416. Its totient is φ = 245262336000.

The previous prime is 1152167221913. The next prime is 1152167221927. The reversal of 1152167221920 is 291227612511.

It is an interprime number because it is at equal distance from previous prime (1152167221913) and next prime (1152167221927).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1152167221927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 301533610 + ... + 301537430.

It is an arithmetic number, because the mean of its divisors is an integer number (5825094912).

Almost surely, 2^{1152167221920} is an apocalyptic number.

1152167221920 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 1152167221920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236836446208).

1152167221920 is an abundant number, since it is smaller than the sum of its proper divisors (3321505670496).

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

1152167221920 is a wasteful number, since it uses less digits than its factorization.

1152167221920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 1152167221920 in words is "one trillion, one hundred fifty-two billion, one hundred sixty-seven million, two hundred twenty-one thousand, nine hundred twenty".