121538308571136 has 512 divisors, whose sum is σ = 370940431065600. Its totient is φ = 39306697113600.

The previous prime is 121538308571089. The next prime is 121538308571137. The reversal of 121538308571136 is 631175803835121.

121538308571136 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 3 + 8 + 30 + 8 + 571 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121538308571137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5744580270 + ... + 5744601426.

It is an arithmetic number, because the mean of its divisors is an integer number (724493029425).

Almost surely, 2^{121538308571136} is an apocalyptic number.

121538308571136 is a gapful number since it is divisible by the number (16) 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 121538308571136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185470215532800).

121538308571136 is an abundant number, since it is smaller than the sum of its proper divisors (249402122494464).

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

121538308571136 is an equidigital number, since it uses as much as digits as its factorization.

121538308571136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21390 (or 21356 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 121538308571136 in words is "one hundred twenty-one trillion, five hundred thirty-eight billion, three hundred eight million, five hundred seventy-one thousand, one hundred thirty-six".