121253418 has 144 divisors (see below), whose sum is σ = 329880096. Its totient is φ = 31726080.

The previous prime is 121253417. The next prime is 121253443. The reversal of 121253418 is 814352121.

121253418 is a `hidden beast` number, since 121 + 2 + 534 + 1 + 8 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121253391 and 121253400.

It is not an unprimeable number, because it can be changed into a prime (121253411) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 743805 + ... + 743967.

It is an arithmetic number, because the mean of its divisors is an integer number (2290834).

Almost surely, 2^121253418 is an apocalyptic number.

121253418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121253418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164940048).

121253418 is an abundant number, since it is smaller than the sum of its proper divisors (208626678).

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

121253418 is a wasteful number, since it uses less digits than its factorization.

121253418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 121253418 is about 11011.5129750639. The cubic root of 121253418 is about 494.9538004020.

The spelling of 121253418 in words is "one hundred twenty-one million, two hundred fifty-three thousand, four hundred eighteen".