121421345302400 has 384 divisors, whose sum is σ = 363754618214400. Its totient is φ = 39442074624000.

The previous prime is 121421345302357. The next prime is 121421345302459. The reversal of 121421345302400 is 4203543124121.

It is a super-3 number, since 3×121421345302400³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 9905861 + ... + 18465339.

It is an arithmetic number, because the mean of its divisors is an integer number (947277651600).

Almost surely, 2^{121421345302400} is an apocalyptic number.

121421345302400 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 121421345302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181877309107200).

121421345302400 is an abundant number, since it is smaller than the sum of its proper divisors (242333272912000).

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

121421345302400 is a wasteful number, since it uses less digits than its factorization.

121421345302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8559558 (or 8559541 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 121421345302400 its reverse (4203543124121), we get a palindrome (125624888426521).

The spelling of 121421345302400 in words is "one hundred twenty-one trillion, four hundred twenty-one billion, three hundred forty-five million, three hundred two thousand, four hundred".