121093925805216 has 1920 divisors, whose sum is σ = 477292749373440. Its totient is φ = 29247690885120.

The previous prime is 121093925805211. The next prime is 121093925805277. The reversal of 121093925805216 is 612508529390121.

121093925805216 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 9 + 3 + 9 + 2 + 580 + 52 + 1 + 6 = 666.

It is a super-3 number, since 3×121093925805216³ (a number of 43 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (121093925805211) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 133510391835 + ... + 133510392741.

It is an arithmetic number, because the mean of its divisors is an integer number (248589973632).

Almost surely, 2^{121093925805216} is an apocalyptic number.

121093925805216 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 121093925805216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238646374686720).

121093925805216 is an abundant number, since it is smaller than the sum of its proper divisors (356198823568224).

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

121093925805216 is an equidigital number, since it uses as much as digits as its factorization.

121093925805216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 121093925805216 in words is "one hundred twenty-one trillion, ninety-three billion, nine hundred twenty-five million, eight hundred five thousand, two hundred sixteen".