121000400 has 60 divisors (see below), whose sum is σ = 293385612. Its totient is φ = 47953920.

The previous prime is 121000391. The next prime is 121000421. The reversal of 121000400 is 4000121.

It can be written as a sum of positive squares in 6 ways, for example, as 61340224 + 59660176 = 7832^2 + 7724^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43862 + ... + 46538.

Almost surely, 2^121000400 is an apocalyptic number.

121000400 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 121000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146692806).

121000400 is an abundant number, since it is smaller than the sum of its proper divisors (172385212).

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

121000400 is a wasteful number, since it uses less digits than its factorization.

121000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 121000400 is about 11000.0181818032. The cubic root of 121000400 is about 494.6092893477.

Adding to 121000400 its reverse (4000121), we get a palindrome (125000521).

The spelling of 121000400 in words is "one hundred twenty-one million, four hundred", and thus it is an aban number.