121998240 has 576 divisors, whose sum is σ = 550368000. Its totient is φ = 24385536.

The previous prime is 121998197. The next prime is 121998241. The reversal of 121998240 is 42899121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121998195 and 121998204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121998241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6420951 + ... + 6420969.

It is an arithmetic number, because the mean of its divisors is an integer number (955500).

Almost surely, 2^121998240 is an apocalyptic number.

121998240 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 121998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275184000).

121998240 is an abundant number, since it is smaller than the sum of its proper divisors (428369760).

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

121998240 is a wasteful number, since it uses less digits than its factorization.

121998240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 121998240 is about 11045.2813454434. The cubic root of 121998240 is about 495.9651813921.

The spelling of 121998240 in words is "one hundred twenty-one million, nine hundred ninety-eight thousand, two hundred forty".