121832657280 has 384 divisors, whose sum is σ = 459258508800. Its totient is φ = 30778030080.

The previous prime is 121832657267. The next prime is 121832657293. The reversal of 121832657280 is 82756238121.

It is an interprime number because it is at equal distance from previous prime (121832657267) and next prime (121832657293).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 2934265 + ... + 2975495.

It is an arithmetic number, because the mean of its divisors is an integer number (1195985700).

Almost surely, 2^121832657280 is an apocalyptic number.

121832657280 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 121832657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229629254400).

121832657280 is an abundant number, since it is smaller than the sum of its proper divisors (337425851520).

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

121832657280 is an equidigital number, since it uses as much as digits as its factorization.

121832657280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41284 (or 41260 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 121832657280 in words is "one hundred twenty-one billion, eight hundred thirty-two million, six hundred fifty-seven thousand, two hundred eighty".