121577624448 has 128 divisors (see below), whose sum is σ = 373522302720. Its totient is φ = 34317889536.

The previous prime is 121577624437. The next prime is 121577624459. The reversal of 121577624448 is 844426775121.

It is an interprime number because it is at equal distance from previous prime (121577624437) and next prime (121577624459).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×121577624448² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121577624448.

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 15 ways as a sum of consecutive naturals, for example, 49365 + ... + 495572.

It is an arithmetic number, because the mean of its divisors is an integer number (2918142990).

Almost surely, 2^121577624448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121577624448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186761151360).

121577624448 is an abundant number, since it is smaller than the sum of its proper divisors (251944678272).

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

121577624448 is an equidigital number, since it uses as much as digits as its factorization.

121577624448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545044 (or 545032 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 51.

The spelling of 121577624448 in words is "one hundred twenty-one billion, five hundred seventy-seven million, six hundred twenty-four thousand, four hundred forty-eight".