32120223120 has 240 divisors, whose sum is σ = 113921458560. Its totient is φ = 8093927424.

The previous prime is 32120223067. The next prime is 32120223131. The reversal of 32120223120 is 2132202123.

32120223120 is a `hidden beast` number, since 321 + 2 + 0 + 223 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32120223093 and 32120223102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1362796 + ... + 1386164.

It is an arithmetic number, because the mean of its divisors is an integer number (474672744).

Almost surely, 2^32120223120 is an apocalyptic number.

32120223120 is a gapful number since it is divisible by the number (30) 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 32120223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56960729280).

32120223120 is an abundant number, since it is smaller than the sum of its proper divisors (81801235440).

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

32120223120 is a wasteful number, since it uses less digits than its factorization.

32120223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23494 (or 23485 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 32120223120 its reverse (2132202123), we get a palindrome (34252425243).

The spelling of 32120223120 in words is "thirty-two billion, one hundred twenty million, two hundred twenty-three thousand, one hundred twenty".