121605300 has 90 divisors (see below), whose sum is σ = 394222598. Its totient is φ = 32425920.

The previous prime is 121605293. The next prime is 121605329. The reversal of 121605300 is 3506121.

It can be written as a sum of positive squares in 3 ways, for example, as 15968016 + 105637284 = 3996^2 + 10278^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 594 + ... + 15606.

Almost surely, 2^121605300 is an apocalyptic number.

121605300 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 121605300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197111299).

121605300 is an abundant number, since it is smaller than the sum of its proper divisors (272617298).

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

121605300 is a wasteful number, since it uses less digits than its factorization.

121605300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15039 (or 15023 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 121605300 is about 11027.4793130615. The cubic root of 121605300 is about 495.4321295330.

The spelling of 121605300 in words is "one hundred twenty-one million, six hundred five thousand, three hundred".