121332314880 has 576 divisors, whose sum is σ = 501407262720. Its totient is φ = 27206959104.

The previous prime is 121332314797. The next prime is 121332314899. The reversal of 121332314880 is 88413233121.

121332314880 is a `hidden beast` number, since 1 + 2 + 1 + 332 + 314 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12817029 + ... + 12826491.

It is an arithmetic number, because the mean of its divisors is an integer number (870498720).

Almost surely, 2^121332314880 is an apocalyptic number.

121332314880 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 121332314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250703631360).

121332314880 is an abundant number, since it is smaller than the sum of its proper divisors (380074947840).

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

121332314880 is an equidigital number, since it uses as much as digits as its factorization.

121332314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9553 (or 9533 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 121332314880 in words is "one hundred twenty-one billion, three hundred thirty-two million, three hundred fourteen thousand, eight hundred eighty".