393211047120 has 80 divisors (see below), whose sum is σ = 1219058225280. Its totient is φ = 104847334912.

The previous prime is 393211047083. The next prime is 393211047161. The reversal of 393211047120 is 21740112393.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×393211047120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3036661 + ... + 3163499.

It is an arithmetic number, because the mean of its divisors is an integer number (15238227816).

Almost surely, 2^393211047120 is an apocalyptic number.

393211047120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

393211047120 is an abundant number, since it is smaller than the sum of its proper divisors (825847178160).

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

393211047120 is a wasteful number, since it uses less digits than its factorization.

393211047120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139772 (or 139766 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 393211047120 in words is "three hundred ninety-three billion, two hundred eleven million, forty-seven thousand, one hundred twenty".