1205326477320 has 256 divisors, whose sum is σ = 4152113326080. Its totient is φ = 274201804800.

The previous prime is 1205326477297. The next prime is 1205326477337. The reversal of 1205326477320 is 237746235021.

It is a super-3 number, since 3×1205326477320³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 178220259 + ... + 178227021.

It is an arithmetic number, because the mean of its divisors is an integer number (16219192680).

Almost surely, 2^{1205326477320} is an apocalyptic number.

1205326477320 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 1205326477320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076056663040).

1205326477320 is an abundant number, since it is smaller than the sum of its proper divisors (2946786848760).

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

1205326477320 is a wasteful number, since it uses less digits than its factorization.

1205326477320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7756 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 1205326477320 in words is "one trillion, two hundred five billion, three hundred twenty-six million, four hundred seventy-seven thousand, three hundred twenty".