121145117184 has 1280 divisors, whose sum is σ = 475169587200. Its totient is φ = 29605036032.

The previous prime is 121145117183. The next prime is 121145117227. The reversal of 121145117184 is 481711541121.

121145117184 is a `hidden beast` number, since 1 + 2 + 11 + 451 + 17 + 184 = 666.

It is a super-3 number, since 3×121145117184³ (a number of 34 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 not an unprimeable number, because it can be changed into a prime (121145117183) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1533482457 + ... + 1533482535.

It is an arithmetic number, because the mean of its divisors is an integer number (371226240).

Almost surely, 2^121145117184 is an apocalyptic number.

121145117184 is a gapful number since it is divisible by the number (14) 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 121145117184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237584793600).

121145117184 is an abundant number, since it is smaller than the sum of its proper divisors (354024470016).

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

121145117184 is a wasteful number, since it uses less digits than its factorization.

121145117184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 180 counting only the distinct ones).

The product of its digits is 8960, while the sum is 36.

The spelling of 121145117184 in words is "one hundred twenty-one billion, one hundred forty-five million, one hundred seventeen thousand, one hundred eighty-four".