121828809414 has 64 divisors (see below), whose sum is σ = 271452561408. Its totient is φ = 36197884800.

The previous prime is 121828809409. The next prime is 121828809481. The reversal of 121828809414 is 414908828121.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1065124 + ... + 1173944.

It is an arithmetic number, because the mean of its divisors is an integer number (4241446272).

Almost surely, 2^121828809414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121828809414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135726280704).

121828809414 is an abundant number, since it is smaller than the sum of its proper divisors (149623751994).

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

121828809414 is a wasteful number, since it uses less digits than its factorization.

121828809414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109333.

The product of its (nonzero) digits is 294912, while the sum is 48.

The spelling of 121828809414 in words is "one hundred twenty-one billion, eight hundred twenty-eight million, eight hundred nine thousand, four hundred fourteen".