121400400 has 240 divisors, whose sum is σ = 450024768. Its totient is φ = 27648000.

The previous prime is 121400341. The next prime is 121400401. The reversal of 121400400 is 4004121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121400401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 224130 + ... + 224670.

Almost surely, 2^121400400 is an apocalyptic number.

121400400 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 121400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225012384).

121400400 is an abundant number, since it is smaller than the sum of its proper divisors (328624368).

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

121400400 is a wasteful number, since it uses less digits than its factorization.

121400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 121400400 is about 11018.1849684964. The cubic root of 121400400 is about 495.1537120834.

Adding to 121400400 its reverse (4004121), we get a palindrome (125404521).

The spelling of 121400400 in words is "one hundred twenty-one million, four hundred thousand, four hundred".