121950720 has 240 divisors, whose sum is σ = 434079360. Its totient is φ = 31629312.

The previous prime is 121950691. The next prime is 121950727. The reversal of 121950720 is 27059121.

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 (121950727) 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, 1543641 + ... + 1543719.

It is an arithmetic number, because the mean of its divisors is an integer number (1808664).

Almost surely, 2^121950720 is an apocalyptic number.

121950720 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 121950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217039680).

121950720 is an abundant number, since it is smaller than the sum of its proper divisors (312128640).

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

121950720 is an equidigital number, since it uses as much as digits as its factorization.

121950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 121950720 is about 11043.1299910850. The cubic root of 121950720 is about 495.9007779326.

The spelling of 121950720 in words is "one hundred twenty-one million, nine hundred fifty thousand, seven hundred twenty".