120222431440 has 80 divisors (see below), whose sum is σ = 280669156560. Its totient is φ = 47891128320.

The previous prime is 120222431401. The next prime is 120222431443. The reversal of 120222431440 is 44134222021.

It can be written as a sum of positive squares in 8 ways, for example, as 60582930496 + 59639500944 = 246136^2 + 244212^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120222431443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29896630 + ... + 29900650.

It is an arithmetic number, because the mean of its divisors is an integer number (3508364457).

Almost surely, 2^120222431440 is an apocalyptic number.

120222431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120222431440 is an abundant number, since it is smaller than the sum of its proper divisors (160446725120).

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

120222431440 is a wasteful number, since it uses less digits than its factorization.

120222431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5480 (or 5474 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 120222431440 its reverse (44134222021), we get a palindrome (164356653461).

The spelling of 120222431440 in words is "one hundred twenty billion, two hundred twenty-two million, four hundred thirty-one thousand, four hundred forty".