121049600 has 180 divisors, whose sum is σ = 350682354. Its totient is φ = 41287680.

The previous prime is 121049573. The next prime is 121049609. The reversal of 121049600 is 6940121.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 74373376 + 46676224 = 8624^2 + 6832^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121049609) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 627104 + ... + 627296.

Almost surely, 2^121049600 is an apocalyptic number.

121049600 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 121049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175341177).

121049600 is an abundant number, since it is smaller than the sum of its proper divisors (229632754).

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

121049600 is an equidigital number, since it uses as much as digits as its factorization.

121049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 121049600 is about 11002.2543144576. The cubic root of 121049600 is about 494.6763179953.

Adding to 121049600 its reverse (6940121), we get a palindrome (127989721).

The spelling of 121049600 in words is "one hundred twenty-one million, forty-nine thousand, six hundred".