1323257055120 has 3840 divisors, whose sum is σ = 6702770995200. Its totient is φ = 232840396800.

The previous prime is 1323257055103. The next prime is 1323257055181. The reversal of 1323257055120 is 215507523231.

1323257055120 is a `hidden beast` number, since 1 + 3 + 2 + 32 + 5 + 70 + 551 + 2 + 0 = 666.

It is a super-3 number, since 3×1323257055120³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 22428085651 + ... + 22428085709.

It is an arithmetic number, because the mean of its divisors is an integer number (1745513280).

Almost surely, 2^{1323257055120} is an apocalyptic number.

1323257055120 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 1323257055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351385497600).

1323257055120 is an abundant number, since it is smaller than the sum of its proper divisors (5379513940080).

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

1323257055120 is a wasteful number, since it uses less digits than its factorization.

1323257055120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 1323257055120 in words is "one trillion, three hundred twenty-three billion, two hundred fifty-seven million, fifty-five thousand, one hundred twenty".