121834080 has 288 divisors, whose sum is σ = 450908640. Its totient is φ = 29859840.

The previous prime is 121834079. The next prime is 121834103. The reversal of 121834080 is 80438121.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1668924 + ... + 1668996.

It is an arithmetic number, because the mean of its divisors is an integer number (1565655).

Almost surely, 2^121834080 is an apocalyptic number.

121834080 is a gapful number since it is divisible by the number (10) 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 121834080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225454320).

121834080 is an abundant number, since it is smaller than the sum of its proper divisors (329074560).

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

121834080 is a wasteful number, since it uses less digits than its factorization.

121834080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 121834080 is about 11037.8476162701. The cubic root of 121834080 is about 495.7426257502.

The spelling of 121834080 in words is "one hundred twenty-one million, eight hundred thirty-four thousand, eighty".