121122720 has 216 divisors, whose sum is σ = 438102756. Its totient is φ = 30468096.

The previous prime is 121122691. The next prime is 121122737. The reversal of 121122720 is 27221121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 114832656 + 6290064 = 10716^2 + 2508^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121122693 and 121122702.

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 35 ways as a sum of consecutive naturals, for example, 519724 + ... + 519956.

Almost surely, 2^121122720 is an apocalyptic number.

121122720 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 121122720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219051378).

121122720 is an abundant number, since it is smaller than the sum of its proper divisors (316980036).

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

121122720 is a wasteful number, since it uses less digits than its factorization.

121122720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 121122720 is about 11005.5767681662. The cubic root of 121122720 is about 494.7759010088.

Adding to 121122720 its reverse (27221121), we get a palindrome (148343841).

The spelling of 121122720 in words is "one hundred twenty-one million, one hundred twenty-two thousand, seven hundred twenty".