121161056508 has 72 divisors (see below), whose sum is σ = 311469363296. Its totient is φ = 39701923200.

The previous prime is 121161056431. The next prime is 121161056519. The reversal of 121161056508 is 805650161121.

121161056508 is a `hidden beast` number, since 121 + 16 + 10 + 5 + 6 + 508 = 666.

121161056508 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121161056508² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4005810 + ... + 4035942.

Almost surely, 2^121161056508 is an apocalyptic number.

121161056508 is a gapful number since it is divisible by the number (18) 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 121161056508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155734681648).

121161056508 is an abundant number, since it is smaller than the sum of its proper divisors (190308306788).

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

121161056508 is a wasteful number, since it uses less digits than its factorization.

121161056508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32035 (or 32030 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 121161056508 in words is "one hundred twenty-one billion, one hundred sixty-one million, fifty-six thousand, five hundred eight".