121633408 has 64 divisors (see below), whose sum is σ = 265093920. Its totient is φ = 55249920.

The previous prime is 121633399. The next prime is 121633411. The reversal of 121633408 is 804336121.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110943 + ... + 112033.

Almost surely, 2^121633408 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 121633408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132546960).

121633408 is an abundant number, since it is smaller than the sum of its proper divisors (143460512).

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

121633408 is a wasteful number, since it uses less digits than its factorization.

121633408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 121633408 is about 11028.7536920542. The cubic root of 121633408 is about 495.4702981915.

Adding to 121633408 its reverse (804336121), we get a palindrome (925969529).

The spelling of 121633408 in words is "one hundred twenty-one million, six hundred thirty-three thousand, four hundred eight".