121315200 has 96 divisors (see below), whose sum is σ = 399613560. Its totient is φ = 32348160.

The previous prime is 121315189. The next prime is 121315211. The reversal of 121315200 is 2513121.

It is an interprime number because it is at equal distance from previous prime (121315189) and next prime (121315211).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121315200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3282 + ... + 15918.

Almost surely, 2^121315200 is an apocalyptic number.

121315200 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 121315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199806780).

121315200 is an abundant number, since it is smaller than the sum of its proper divisors (278298360).

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

121315200 is a wasteful number, since it uses less digits than its factorization.

121315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12664 (or 12647 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 121315200 is about 11014.3179543719. The cubic root of 121315200 is about 495.0378503860.

Adding to 121315200 its reverse (2513121), we get a palindrome (123828321).

The spelling of 121315200 in words is "one hundred twenty-one million, three hundred fifteen thousand, two hundred".