121221152 has 96 divisors (see below), whose sum is σ = 277575984. Its totient is φ = 51609600.

The previous prime is 121221103. The next prime is 121221167. The reversal of 121221152 is 251122121.

It can be written as a sum of positive squares in 8 ways, for example, as 30514576 + 90706576 = 5524^2 + 9524^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 121221152.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 431252 + ... + 431532.

Almost surely, 2^121221152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121221152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138787992).

121221152 is an abundant number, since it is smaller than the sum of its proper divisors (156354832).

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

121221152 is a wasteful number, since it uses less digits than its factorization.

121221152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its digits is 80, while the sum is 17.

The square root of 121221152 is about 11010.0477746466. The cubic root of 121221152 is about 494.9098934717.

Adding to 121221152 its reverse (251122121), we get a palindrome (372343273).

The spelling of 121221152 in words is "one hundred twenty-one million, two hundred twenty-one thousand, one hundred fifty-two".