121141800 has 288 divisors, whose sum is σ = 454970880. Its totient is φ = 28684800.

The previous prime is 121141799. The next prime is 121141817. The reversal of 121141800 is 8141121.

It is a super-3 number, since 3×121141800³ (a number of 25 digits) contains 333 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 725317 + ... + 725483.

It is an arithmetic number, because the mean of its divisors is an integer number (1579760).

Almost surely, 2^121141800 is an apocalyptic number.

121141800 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 121141800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227485440).

121141800 is an abundant number, since it is smaller than the sum of its proper divisors (333829080).

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

121141800 is a wasteful number, since it uses less digits than its factorization.

121141800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 121141800 is about 11006.4435672928. The cubic root of 121141800 is about 494.8018796981.

Adding to 121141800 its reverse (8141121), we get a palindrome (129282921).

The spelling of 121141800 in words is "one hundred twenty-one million, one hundred forty-one thousand, eight hundred".