121400203102400 has 168 divisors, whose sum is σ = 299290740000000. Its totient is φ = 48467402081280.

The previous prime is 121400203102319. The next prime is 121400203102471. The reversal of 121400203102400 is 4201302004121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4791028931 + ... + 4791054269.

It is an arithmetic number, because the mean of its divisors is an integer number (1781492500000).

Almost surely, 2^{121400203102400} is an apocalyptic number.

121400203102400 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 121400203102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149645370000000).

121400203102400 is an abundant number, since it is smaller than the sum of its proper divisors (177890536897600).

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

121400203102400 is a wasteful number, since it uses less digits than its factorization.

121400203102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30959 (or 30944 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 121400203102400 its reverse (4201302004121), we get a palindrome (125601505106521).

The spelling of 121400203102400 in words is "one hundred twenty-one trillion, four hundred billion, two hundred three million, one hundred two thousand, four hundred".