121648600 has 96 divisors (see below), whose sum is σ = 307882080. Its totient is φ = 44513280.

The previous prime is 121648589. The next prime is 121648603. The reversal of 121648600 is 6846121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121648603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125317 + ... + 126283.

It is an arithmetic number, because the mean of its divisors is an integer number (3207105).

Almost surely, 2^121648600 is an apocalyptic number.

121648600 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 121648600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153941040).

121648600 is an abundant number, since it is smaller than the sum of its proper divisors (186233480).

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

121648600 is a wasteful number, since it uses less digits than its factorization.

121648600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 121648600 is about 11029.4424156437. The cubic root of 121648600 is about 495.4909253956.

The spelling of 121648600 in words is "one hundred twenty-one million, six hundred forty-eight thousand, six hundred".