121724826476480 has 224 divisors, whose sum is σ = 299960728804800. Its totient is φ = 47013045829632.

The previous prime is 121724826476471. The next prime is 121724826476489. The reversal of 121724826476480 is 84674628427121.

It is an interprime number because it is at equal distance from previous prime (121724826476471) and next prime (121724826476489).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121724826476489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5935180466 + ... + 5935200974.

It is an arithmetic number, because the mean of its divisors is an integer number (1339110396450).

Almost surely, 2^{121724826476480} is an apocalyptic number.

121724826476480 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 121724826476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149980364402400).

121724826476480 is an abundant number, since it is smaller than the sum of its proper divisors (178235902328320).

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

121724826476480 is a wasteful number, since it uses less digits than its factorization.

121724826476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24359 (or 24349 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 62.

The spelling of 121724826476480 in words is "one hundred twenty-one trillion, seven hundred twenty-four billion, eight hundred twenty-six million, four hundred seventy-six thousand, four hundred eighty".