32120022033120 has 192 divisors, whose sum is σ = 115704054014976. Its totient is φ = 7337149501440.

The previous prime is 32120022033083. The next prime is 32120022033137. The reversal of 32120022033120 is 2133022002123.

It is a happy number.

It is a super-2 number, since 2×32120022033120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2425180 + ... + 8373860.

It is an arithmetic number, because the mean of its divisors is an integer number (602625281328).

Almost surely, 2^{32120022033120} is an apocalyptic number.

32120022033120 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 32120022033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57852027007488).

32120022033120 is an abundant number, since it is smaller than the sum of its proper divisors (83584031981856).

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

32120022033120 is a wasteful number, since it uses less digits than its factorization.

32120022033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5950313 (or 5950305 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 32120022033120 its reverse (2133022002123), we get a palindrome (34253044035243).

The spelling of 32120022033120 in words is "thirty-two trillion, one hundred twenty billion, twenty-two million, thirty-three thousand, one hundred twenty".