1395233133120 has 84 divisors (see below), whose sum is σ = 4799020640700. Its totient is φ = 372062168064.

The previous prime is 1395233133079. The next prime is 1395233133139. The reversal of 1395233133120 is 213313325931.

1395233133120 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 2 + 331 + 3 + 312 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 930098221056 + 465134912064 = 964416^2 + 682008^2 .

It is a super-3 number, since 3×1395233133120³ (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242225095 + ... + 242230854.

Almost surely, 2^{1395233133120} is an apocalyptic number.

1395233133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1395233133120 is an abundant number, since it is smaller than the sum of its proper divisors (3403787507580).

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

1395233133120 is a wasteful number, since it uses less digits than its factorization.

1395233133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484455972 (or 484455959 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The spelling of 1395233133120 in words is "one trillion, three hundred ninety-five billion, two hundred thirty-three million, one hundred thirty-three thousand, one hundred twenty".