121220414400 has 336 divisors, whose sum is σ = 415789530624. Its totient is φ = 30860881920.

The previous prime is 121220414369. The next prime is 121220414411. The reversal of 121220414400 is 4414022121.

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, 108522642 + ... + 108523758.

Almost surely, 2^121220414400 is an apocalyptic number.

121220414400 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 121220414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207894765312).

121220414400 is an abundant number, since it is smaller than the sum of its proper divisors (294569116224).

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

121220414400 is a wasteful number, since it uses less digits than its factorization.

121220414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 121220414400 its reverse (4414022121), we get a palindrome (125634436521).

The spelling of 121220414400 in words is "one hundred twenty-one billion, two hundred twenty million, four hundred fourteen thousand, four hundred".