121718900 has 72 divisors (see below), whose sum is σ = 275878176. Its totient is φ = 46569600.

The previous prime is 121718897. The next prime is 121718903. The reversal of 121718900 is 9817121.

It is an interprime number because it is at equal distance from previous prime (121718897) and next prime (121718903).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121718903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247655 + ... + 248145.

Almost surely, 2^121718900 is an apocalyptic number.

121718900 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 121718900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137939088).

121718900 is an abundant number, since it is smaller than the sum of its proper divisors (154159276).

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

121718900 is a wasteful number, since it uses less digits than its factorization.

121718900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 29.

The square root of 121718900 is about 11032.6288798273. The cubic root of 121718900 is about 495.5863540984.

The spelling of 121718900 in words is "one hundred twenty-one million, seven hundred eighteen thousand, nine hundred".