121974720 has 168 divisors, whose sum is σ = 450671184. Its totient is φ = 27869184.

The previous prime is 121974709. The next prime is 121974731. The reversal of 121974720 is 27479121.

It is an interprime number because it is at equal distance from previous prime (121974709) and next prime (121974731).

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45744 + ... + 48336.

Almost surely, 2^121974720 is an apocalyptic number.

121974720 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 121974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225335592).

121974720 is an abundant number, since it is smaller than the sum of its proper divisors (328696464).

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

121974720 is a wasteful number, since it uses less digits than its factorization.

121974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 121974720 is about 11044.2165860689. The cubic root of 121974720 is about 495.9333070230.

The spelling of 121974720 in words is "one hundred twenty-one million, nine hundred seventy-four thousand, seven hundred twenty".