121182720 has 160 divisors (see below), whose sum is σ = 400688640. Its totient is φ = 31211520.

The previous prime is 121182713. The next prime is 121182727. The reversal of 121182720 is 27281121.

It is an interprime number because it is at equal distance from previous prime (121182713) and next prime (121182727).

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (121182727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237826 + ... + 238334.

It is an arithmetic number, because the mean of its divisors is an integer number (2504304).

Almost surely, 2^121182720 is an apocalyptic number.

121182720 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 121182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200344320).

121182720 is an abundant number, since it is smaller than the sum of its proper divisors (279505920).

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

121182720 is an equidigital number, since it uses as much as digits as its factorization.

121182720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 121182720 is about 11008.3023214299. The cubic root of 121182720 is about 494.8575858034.

The spelling of 121182720 in words is "one hundred twenty-one million, one hundred eighty-two thousand, seven hundred twenty".