121834440 has 192 divisors, whose sum is σ = 487468800. Its totient is φ = 25698816.

The previous prime is 121834429. The next prime is 121834483. The reversal of 121834440 is 44438121.

121834440 is a `hidden beast` number, since 1 + 218 + 3 + 4 + 440 = 666.

It is a super-2 number, since 2×121834440² = 29687261540227200, which contains 22 as substring.

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, 30901 + ... + 34619.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2^121834440 is an apocalyptic number.

121834440 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 121834440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400).

121834440 is an abundant number, since it is smaller than the sum of its proper divisors (365634360).

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

121834440 is a wasteful number, since it uses less digits than its factorization.

121834440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 121834440 is about 11037.8639237853. The cubic root of 121834440 is about 495.7431140295.

The spelling of 121834440 in words is "one hundred twenty-one million, eight hundred thirty-four thousand, four hundred forty".