121120800 has 144 divisors (see below), whose sum is σ = 398724480. Its totient is φ = 31933440.

The previous prime is 121120781. The next prime is 121120819. The reversal of 121120800 is 8021121.

It is an interprime number because it is at equal distance from previous prime (121120781) and next prime (121120819).

It is a super-3 number, since 3×121120800³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121120800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261369 + ... + 261831.

It is an arithmetic number, because the mean of its divisors is an integer number (2768920).

Almost surely, 2^121120800 is an apocalyptic number.

121120800 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 121120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199362240).

121120800 is an abundant number, since it is smaller than the sum of its proper divisors (277603680).

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

121120800 is a wasteful number, since it uses less digits than its factorization.

121120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 121120800 is about 11005.4895393163. The cubic root of 121120800 is about 494.7732866500.

Adding to 121120800 its reverse (8021121), we get a palindrome (129141921).

The spelling of 121120800 in words is "one hundred twenty-one million, one hundred twenty thousand, eight hundred".