121432454400 has 432 divisors, whose sum is σ = 408545726400. Its totient is φ = 31759073280.

The previous prime is 121432454329. The next prime is 121432454443. The reversal of 121432454400 is 4454234121.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 305875002 + ... + 305875398.

It is an arithmetic number, because the mean of its divisors is an integer number (945707700).

Almost surely, 2^121432454400 is an apocalyptic number.

121432454400 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 121432454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204272863200).

121432454400 is an abundant number, since it is smaller than the sum of its proper divisors (287113272000).

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

121432454400 is a wasteful number, since it uses less digits than its factorization.

121432454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 121432454400 its reverse (4454234121), we get a palindrome (125886688521).

The spelling of 121432454400 in words is "one hundred twenty-one billion, four hundred thirty-two million, four hundred fifty-four thousand, four hundred".