121361152 has 72 divisors (see below), whose sum is σ = 268434432. Its totient is φ = 54297600.

The previous prime is 121361131. The next prime is 121361159. The reversal of 121361152 is 251163121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (121361159) 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 7 ways as a sum of consecutive naturals, for example, 199633 + ... + 200239.

It is an arithmetic number, because the mean of its divisors is an integer number (3728256).

Almost surely, 2^121361152 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 121361152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134217216).

121361152 is an abundant number, since it is smaller than the sum of its proper divisors (147073280).

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

121361152 is an equidigital number, since it uses as much as digits as its factorization.

121361152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 691 counting only the distinct ones).

The product of its digits is 360, while the sum is 22.

The square root of 121361152 is about 11016.4037689257. The cubic root of 121361152 is about 495.1003462857.

The spelling of 121361152 in words is "one hundred twenty-one million, three hundred sixty-one thousand, one hundred fifty-two".