121357632 has 112 divisors (see below), whose sum is σ = 359980992. Its totient is φ = 35758080.

The previous prime is 121357601. The next prime is 121357697. The reversal of 121357632 is 236753121.

It is a self number, because there is not a number n which added to its sum of digits gives 121357632.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 77368 + ... + 78920.

It is an arithmetic number, because the mean of its divisors is an integer number (3214116).

Almost surely, 2^121357632 is an apocalyptic number.

121357632 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 121357632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179990496).

121357632 is an abundant number, since it is smaller than the sum of its proper divisors (238623360).

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

121357632 is a wasteful number, since it uses less digits than its factorization.

121357632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1606 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 121357632 is about 11016.2440060122. The cubic root of 121357632 is about 495.0955595533.

It can be divided in two parts, 121 and 357632, that added together give a palindrome (357753).

The spelling of 121357632 in words is "one hundred twenty-one million, three hundred fifty-seven thousand, six hundred thirty-two".