121034412400 has 180 divisors, whose sum is σ = 321759513712. Its totient is φ = 43718400000.

The previous prime is 121034412353. The next prime is 121034412409. The reversal of 121034412400 is 4214430121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121034412409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7300120 + ... + 7316680.

Almost surely, 2^121034412400 is an apocalyptic number.

121034412400 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 121034412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160879756856).

121034412400 is an abundant number, since it is smaller than the sum of its proper divisors (200725101312).

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

121034412400 is a wasteful number, since it uses less digits than its factorization.

121034412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16752 (or 16730 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 121034412400 its reverse (4214430121), we get a palindrome (125248842521).

The spelling of 121034412400 in words is "one hundred twenty-one billion, thirty-four million, four hundred twelve thousand, four hundred".