121162832640 has 504 divisors, whose sum is σ = 445889017728. Its totient is φ = 31512084480.

The previous prime is 121162832621. The next prime is 121162832669. The reversal of 121162832640 is 46238261121.

It is a happy number.

121162832640 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 6 + 2 + 8 + 3 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121162832595 and 121162832604.

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 55 ways as a sum of consecutive naturals, for example, 38256337 + ... + 38259503.

It is an arithmetic number, because the mean of its divisors is an integer number (884700432).

Almost surely, 2^121162832640 is an apocalyptic number.

121162832640 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 121162832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222944508864).

121162832640 is an abundant number, since it is smaller than the sum of its proper divisors (324726185088).

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

121162832640 is an frugal number, since it uses more digits than its factorization.

121162832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 121162832640 in words is "one hundred twenty-one billion, one hundred sixty-two million, eight hundred thirty-two thousand, six hundred forty".