121829648640 has 576 divisors, whose sum is σ = 480532953600. Its totient is φ = 26203914240.

The previous prime is 121829648639. The next prime is 121829648651. The reversal of 121829648640 is 46846928121.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 63 ways as a sum of consecutive naturals, for example, 22388320 + ... + 22393760.

It is an arithmetic number, because the mean of its divisors is an integer number (834258600).

Almost surely, 2^121829648640 is an apocalyptic number.

121829648640 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 121829648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240266476800).

121829648640 is an abundant number, since it is smaller than the sum of its proper divisors (358703304960).

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

121829648640 is an equidigital number, since it uses as much as digits as its factorization.

121829648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5503 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 121829648640 in words is "one hundred twenty-one billion, eight hundred twenty-nine million, six hundred forty-eight thousand, six hundred forty".