321120528547104 has 1536 divisors, whose sum is σ = 1207891680952320. Its totient is φ = 81482681548800.

The previous prime is 321120528547097. The next prime is 321120528547111. The reversal of 321120528547104 is 401745825021123.

It is a happy number.

321120528547104 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 2 + 0 + 528 + 54 + 71 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (321120528547097) and next prime (321120528547111).

It is a super-2 number, since 2×321120528547104² (a number of 30 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 321120528547104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7147584289 + ... + 7147629215.

It is an arithmetic number, because the mean of its divisors is an integer number (786387813120).

Almost surely, 2^{321120528547104} is an apocalyptic number.

321120528547104 is a gapful number since it is divisible by the number (34) 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 321120528547104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603945840476160).

321120528547104 is an abundant number, since it is smaller than the sum of its proper divisors (886771152405216).

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

321120528547104 is a wasteful number, since it uses less digits than its factorization.

321120528547104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45111 (or 45097 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 321120528547104 in words is "three hundred twenty-one trillion, one hundred twenty billion, five hundred twenty-eight million, five hundred forty-seven thousand, one hundred four".