121134101730400 has 576 divisors, whose sum is σ = 333584250241536. Its totient is φ = 42579836928000.

The previous prime is 121134101730347. The next prime is 121134101730443. The reversal of 121134101730400 is 4037101431121.

It is a super-3 number, since 3×121134101730400³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8598992157 + ... + 8599006243.

It is an arithmetic number, because the mean of its divisors is an integer number (579139323336).

Almost surely, 2^{121134101730400} is an apocalyptic number.

121134101730400 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 121134101730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166792125120768).

121134101730400 is an abundant number, since it is smaller than the sum of its proper divisors (212450148511136).

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

121134101730400 is a wasteful number, since it uses less digits than its factorization.

121134101730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14455 (or 14442 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 121134101730400 in words is "one hundred twenty-one trillion, one hundred thirty-four billion, one hundred one million, seven hundred thirty thousand, four hundred".