1321605220350 has 384 divisors, whose sum is σ = 3602868401664. Its totient is φ = 319334400000.

The previous prime is 1321605220349. The next prime is 1321605220393. The reversal of 1321605220350 is 530225061231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2199010050 + ... + 2199010650.

It is an arithmetic number, because the mean of its divisors is an integer number (9382469796).

Almost surely, 2^{1321605220350} is an apocalyptic number.

1321605220350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321605220350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801434200832).

1321605220350 is an abundant number, since it is smaller than the sum of its proper divisors (2281263181314).

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

1321605220350 is a wasteful number, since it uses less digits than its factorization.

1321605220350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 1321605220350 in words is "one trillion, three hundred twenty-one billion, six hundred five million, two hundred twenty thousand, three hundred fifty".