121345200 has 180 divisors, whose sum is σ = 432957408. Its totient is φ = 31449600.

The previous prime is 121345151. The next prime is 121345207. The reversal of 121345200 is 2543121.

121345200 is a `hidden beast` number, since 1 + 213 + 452 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (121345207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132745 + ... + 133655.

Almost surely, 2^121345200 is an apocalyptic number.

121345200 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 121345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216478704).

121345200 is an abundant number, since it is smaller than the sum of its proper divisors (311612208).

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

121345200 is a wasteful number, since it uses less digits than its factorization.

121345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 121345200 is about 11015.6797339066. The cubic root of 121345200 is about 495.0786529441.

Adding to 121345200 its reverse (2543121), we get a palindrome (123888321).

The spelling of 121345200 in words is "one hundred twenty-one million, three hundred forty-five thousand, two hundred".