121144400 has 60 divisors (see below), whose sum is σ = 313451292. Its totient is φ = 44728320.

The previous prime is 121144343. The next prime is 121144417. The reversal of 121144400 is 4441121.

It can be written as a sum of positive squares in 6 ways, for example, as 34951744 + 86192656 = 5912^2 + 9284^2 .

It is a super-3 number, since 3×121144400³ (a number of 25 digits) contains 333 as substring.

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, 6449 + ... + 16848.

Almost surely, 2^121144400 is an apocalyptic number.

121144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121144400 is an abundant number, since it is smaller than the sum of its proper divisors (192306892).

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

121144400 is a wasteful number, since it uses less digits than its factorization.

121144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23328 (or 23317 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 121144400 is about 11006.5616792893. The cubic root of 121144400 is about 494.8054195599.

Adding to 121144400 its reverse (4441121), we get a palindrome (125585521).

It can be divided in two parts, 121 and 144400, that multiplied together give a square (17472400 = 4180²).

The spelling of 121144400 in words is "one hundred twenty-one million, one hundred forty-four thousand, four hundred".