121329295360 has 448 divisors, whose sum is σ = 367184708352. Its totient is φ = 37456183296.

The previous prime is 121329295333. The next prime is 121329295363. The reversal of 121329295360 is 63592923121.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (121329295363) 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, 160276102 + ... + 160276858.

It is an arithmetic number, because the mean of its divisors is an integer number (819608724).

Almost surely, 2^121329295360 is an apocalyptic number.

121329295360 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 121329295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183592354176).

121329295360 is an abundant number, since it is smaller than the sum of its proper divisors (245855412992).

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

121329295360 is an equidigital number, since it uses as much as digits as its factorization.

121329295360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The spelling of 121329295360 in words is "one hundred twenty-one billion, three hundred twenty-nine million, two hundred ninety-five thousand, three hundred sixty".