121242400 has 36 divisors (see below), whose sum is σ = 295984962. Its totient is φ = 48496640.

The previous prime is 121242391. The next prime is 121242409. The reversal of 121242400 is 4242121.

It is an interprime number because it is at equal distance from previous prime (121242391) and next prime (121242409).

It can be written as a sum of positive squares in 3 ways, for example, as 95961616 + 25280784 = 9796^2 + 5028^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121242409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74977 + ... + 76576.

Almost surely, 2^121242400 is an apocalyptic number.

121242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121242400 is an abundant number, since it is smaller than the sum of its proper divisors (174742562).

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

121242400 is a wasteful number, since it uses less digits than its factorization.

121242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151573 (or 151560 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 121242400 is about 11011.0126691417. The cubic root of 121242400 is about 494.9388082029.

Adding to 121242400 its reverse (4242121), we get a palindrome (125484521).

The spelling of 121242400 in words is "one hundred twenty-one million, two hundred forty-two thousand, four hundred".