121253408 has 48 divisors (see below), whose sum is σ = 248595480. Its totient is φ = 58146816.

The previous prime is 121253399. The next prime is 121253411. The reversal of 121253408 is 804352121.

It can be written as a sum of positive squares in 4 ways, for example, as 118113424 + 3139984 = 10868^2 + 1772^2 .

It is a super-2 number, since 2×121253408² = 29404777903228928, which contains 22 as substring.

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, 178766 + ... + 179442.

Almost surely, 2^121253408 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 121253408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124297740).

121253408 is an abundant number, since it is smaller than the sum of its proper divisors (127342072).

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

121253408 is a wasteful number, since it uses less digits than its factorization.

121253408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 121253408 is about 11011.5125209937. The cubic root of 121253408 is about 494.9537867954.

The spelling of 121253408 in words is "one hundred twenty-one million, two hundred fifty-three thousand, four hundred eight".