121840000 has 80 divisors (see below), whose sum is σ = 303512220. Its totient is φ = 48704000.

The previous prime is 121839983. The next prime is 121840009. The reversal of 121840000 is 48121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121840009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79239 + ... + 80761.

Almost surely, 2^121840000 is an apocalyptic number.

121840000 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 121840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151756110).

121840000 is an abundant number, since it is smaller than the sum of its proper divisors (181672220).

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

121840000 is an frugal number, since it uses more digits than its factorization.

121840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 121840000 is about 11038.1157812373. The cubic root of 121840000 is about 495.7506551095.

Adding to 121840000 its reverse (48121), we get a palindrome (121888121).

The spelling of 121840000 in words is "one hundred twenty-one million, eight hundred forty thousand".