121120400 has 30 divisors (see below), whose sum is σ = 290992722. Its totient is φ = 48448000.

The previous prime is 121120387. The next prime is 121120409. The reversal of 121120400 is 4021121.

It can be written as a sum of positive squares in 3 ways, for example, as 28344976 + 92775424 = 5324^2 + 9632^2 .

It is not an unprimeable number, because it can be changed into a prime (121120409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 151001 + ... + 151800.

Almost surely, 2^121120400 is an apocalyptic number.

121120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121120400 is an abundant number, since it is smaller than the sum of its proper divisors (169872322).

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

121120400 is a wasteful number, since it uses less digits than its factorization.

121120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302819 (or 302808 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 121120400 is about 11005.4713665522. The cubic root of 121120400 is about 494.7727419884.

Adding to 121120400 its reverse (4021121), we get a palindrome (125141521).

The spelling of 121120400 in words is "one hundred twenty-one million, one hundred twenty thousand, four hundred".