121412321400 has 192 divisors, whose sum is σ = 383959889280. Its totient is φ = 31729420800.

The previous prime is 121412321357. The next prime is 121412321411. The reversal of 121412321400 is 4123214121.

121412321400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7911735 + ... + 7927065.

It is an arithmetic number, because the mean of its divisors is an integer number (1999791090).

Almost surely, 2^121412321400 is an apocalyptic number.

121412321400 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 121412321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191979944640).

121412321400 is an abundant number, since it is smaller than the sum of its proper divisors (262547567880).

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

121412321400 is a wasteful number, since it uses less digits than its factorization.

121412321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15614 (or 15605 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 121412321400 its reverse (4123214121), we get a palindrome (125535535521).

The spelling of 121412321400 in words is "one hundred twenty-one billion, four hundred twelve million, three hundred twenty-one thousand, four hundred".