121662500 has 36 divisors (see below), whose sum is σ = 266147028. Its totient is φ = 48660000.

The previous prime is 121662407. The next prime is 121662503. The reversal of 121662500 is 5266121.

It can be written as a sum of positive squares in 6 ways, for example, as 78287104 + 43375396 = 8848^2 + 6586^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121662503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7634 + ... + 17366.

It is an arithmetic number, because the mean of its divisors is an integer number (7392973).

Almost surely, 2^121662500 is an apocalyptic number.

121662500 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 121662500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133073514).

121662500 is an abundant number, since it is smaller than the sum of its proper divisors (144484528).

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

121662500 is an frugal number, since it uses more digits than its factorization.

121662500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9762 (or 9740 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 121662500 is about 11030.0725292266. The cubic root of 121662500 is about 495.5097968597.

The spelling of 121662500 in words is "one hundred twenty-one million, six hundred sixty-two thousand, five hundred".