121204111314400 has 576 divisors, whose sum is σ = 314944778244096. Its totient is φ = 45480314880000.

The previous prime is 121204111314373. The next prime is 121204111314437. The reversal of 121204111314400 is 4413111402121.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83531433675 + ... + 83531435125.

It is an arithmetic number, because the mean of its divisors is an integer number (546779128896).

Almost surely, 2^{121204111314400} is an apocalyptic number.

121204111314400 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 121204111314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157472389122048).

121204111314400 is an abundant number, since it is smaller than the sum of its proper divisors (193740666929696).

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

121204111314400 is a wasteful number, since it uses less digits than its factorization.

121204111314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 121204111314400 its reverse (4413111402121), we get a palindrome (125617222716521).

The spelling of 121204111314400 in words is "one hundred twenty-one trillion, two hundred four billion, one hundred eleven million, three hundred fourteen thousand, four hundred".