32120880000 has 640 divisors, whose sum is σ = 121596076800. Its totient is φ = 7448320000.

The previous prime is 32120879963. The next prime is 32120880007. The reversal of 32120880000 is 8802123.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32120880007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1396559989 + ... + 1396560011.

It is an arithmetic number, because the mean of its divisors is an integer number (189993870).

Almost surely, 2^32120880000 is an apocalyptic number.

32120880000 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 32120880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60798038400).

32120880000 is an abundant number, since it is smaller than the sum of its proper divisors (89475196800).

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

32120880000 is an frugal number, since it uses more digits than its factorization.

32120880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 32120880000 in words is "thirty-two billion, one hundred twenty million, eight hundred eighty thousand".