121842240 has 168 divisors, whose sum is σ = 419453568. Its totient is φ = 29952000.

The previous prime is 121842239. The next prime is 121842241. The reversal of 121842240 is 42248121.

It is an interprime number because it is at equal distance from previous prime (121842239) and next prime (121842241).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 121842240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121842241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161865 + ... + 162615.

Almost surely, 2^121842240 is an apocalyptic number.

121842240 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 121842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209726784).

121842240 is an abundant number, since it is smaller than the sum of its proper divisors (297611328).

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

121842240 is a wasteful number, since it uses less digits than its factorization.

121842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 121842240 is about 11038.2172473638. The cubic root of 121842240 is about 495.7536931776.

The spelling of 121842240 in words is "one hundred twenty-one million, eight hundred forty-two thousand, two hundred forty".