121829513245440 has 5184 divisors, whose sum is σ = 564816844247040. Its totient is φ = 21713810227200.

The previous prime is 121829513245373. The next prime is 121829513245457. The reversal of 121829513245440 is 44542315928121.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2064907004131 + ... + 2064907004189.

It is an arithmetic number, because the mean of its divisors is an integer number (108953866560).

Almost surely, 2^{121829513245440} is an apocalyptic number.

121829513245440 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 121829513245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282408422123520).

121829513245440 is an abundant number, since it is smaller than the sum of its proper divisors (442987331001600).

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

121829513245440 is a wasteful number, since it uses less digits than its factorization.

121829513245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 121829513245440 in words is "one hundred twenty-one trillion, eight hundred twenty-nine billion, five hundred thirteen million, two hundred forty-five thousand, four hundred forty".