121513600 has 192 divisors, whose sum is σ = 339978240. Its totient is φ = 42577920.

The previous prime is 121513559. The next prime is 121513619. The reversal of 121513600 is 6315121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956737 + ... + 956863.

It is an arithmetic number, because the mean of its divisors is an integer number (1770720).

Almost surely, 2^121513600 is an apocalyptic number.

121513600 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 121513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169989120).

121513600 is an abundant number, since it is smaller than the sum of its proper divisors (218464640).

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

121513600 is a wasteful number, since it uses less digits than its factorization.

121513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 121513600 is about 11023.3207337898. The cubic root of 121513600 is about 495.3075665668.

Adding to 121513600 its reverse (6315121), we get a palindrome (127828721).

It can be divided in two parts, 12151 and 3600, that added together give a palindrome (15751).

The spelling of 121513600 in words is "one hundred twenty-one million, five hundred thirteen thousand, six hundred".