1221733152 has 192 divisors, whose sum is σ = 3800079360. Its totient is φ = 380547072.

The previous prime is 1221733147. The next prime is 1221733207. The reversal of 1221733152 is 2513371221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3275238 + ... + 3275610.

It is an arithmetic number, because the mean of its divisors is an integer number (19792080).

Almost surely, 2^1221733152 is an apocalyptic number.

1221733152 is a gapful number since it is divisible by the number (12) 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 1221733152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900039680).

1221733152 is an abundant number, since it is smaller than the sum of its proper divisors (2578346208).

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

1221733152 is a wasteful number, since it uses less digits than its factorization.

1221733152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 618 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 1221733152 is about 34953.2995867343. The cubic root of 1221733152 is about 1069.0354810156.

It can be divided in two parts, 12217 and 33152, that added together give a square (45369 = 213²).

The spelling of 1221733152 in words is "one billion, two hundred twenty-one million, seven hundred thirty-three thousand, one hundred fifty-two".