32430313120 has 48 divisors (see below), whose sum is σ = 76628280960. Its totient is φ = 12970150144.

The previous prime is 32430313117. The next prime is 32430313129. The reversal of 32430313120 is 2131303423.

It is a super-3 number, since 3×32430313120³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 32430313091 and 32430313100.

It is not an unprimeable number, because it can be changed into a prime (32430313129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1505949 + ... + 1527331.

It is an arithmetic number, because the mean of its divisors is an integer number (1596422520).

Almost surely, 2^32430313120 is an apocalyptic number.

It is an amenable number.

32430313120 is an abundant number, since it is smaller than the sum of its proper divisors (44197967840).

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

32430313120 is a wasteful number, since it uses less digits than its factorization.

32430313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30877 (or 30869 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 32430313120 its reverse (2131303423), we get a palindrome (34561616543).

The spelling of 32430313120 in words is "thirty-two billion, four hundred thirty million, three hundred thirteen thousand, one hundred twenty".