32232220120320 has 576 divisors, whose sum is σ = 113200096230144. Its totient is φ = 7751477493760.

The previous prime is 32232220120297. The next prime is 32232220120349. The reversal of 32232220120320 is 2302102223223.

It is a super-2 number, since 2×32232220120320² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2937406354 + ... + 2937417326.

It is an arithmetic number, because the mean of its divisors is an integer number (196527944844).

Almost surely, 2^{32232220120320} is an apocalyptic number.

32232220120320 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 32232220120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56600048115072).

32232220120320 is an abundant number, since it is smaller than the sum of its proper divisors (80967876109824).

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

32232220120320 is a wasteful number, since it uses less digits than its factorization.

32232220120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11558 (or 11544 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 32232220120320 its reverse (2302102223223), we get a palindrome (34534322343543).

The spelling of 32232220120320 in words is "thirty-two trillion, two hundred thirty-two billion, two hundred twenty million, one hundred twenty thousand, three hundred twenty".