121141053309600 has 864 divisors, whose sum is σ = 432707676186240. Its totient is φ = 31889419960320.

The previous prime is 121141053309499. The next prime is 121141053309613. The reversal of 121141053309600 is 6903350141121.

121141053309600 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 4 + 10 + 5 + 3 + 30 + 9 + 600 = 666.

It is a super-3 number, since 3×121141053309600³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 153927640407 + ... + 153927641193.

It is an arithmetic number, because the mean of its divisors is an integer number (500819069660).

Almost surely, 2^{121141053309600} is an apocalyptic number.

121141053309600 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 121141053309600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216353838093120).

121141053309600 is an abundant number, since it is smaller than the sum of its proper divisors (311566622876640).

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

121141053309600 is a wasteful number, since it uses less digits than its factorization.

121141053309600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 121141053309600 in words is "one hundred twenty-one trillion, one hundred forty-one billion, fifty-three million, three hundred nine thousand, six hundred".