121944240 has 240 divisors, whose sum is σ = 454390560. Its totient is φ = 29061120.

The previous prime is 121944233. The next prime is 121944241. The reversal of 121944240 is 42449121.

It is a happy number.

121944240 is a `hidden beast` number, since 1 + 219 + 442 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (121944241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 704794 + ... + 704966.

It is an arithmetic number, because the mean of its divisors is an integer number (1893294).

Almost surely, 2^121944240 is an apocalyptic number.

121944240 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 121944240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227195280).

121944240 is an abundant number, since it is smaller than the sum of its proper divisors (332446320).

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

121944240 is a wasteful number, since it uses less digits than its factorization.

121944240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 121944240 is about 11042.8365921080. The cubic root of 121944240 is about 495.8919943465.

The spelling of 121944240 in words is "one hundred twenty-one million, nine hundred forty-four thousand, two hundred forty".