32212021220120 has 256 divisors, whose sum is σ = 84691464192000. Its totient is φ = 10798844958720.

The previous prime is 32212021220111. The next prime is 32212021220177. The reversal of 32212021220120 is 2102212021223.

It is a super-2 number, since 2×32212021220120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32212021220092 and 32212021220101.

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, 2005347209 + ... + 2005363271.

It is an arithmetic number, because the mean of its divisors is an integer number (330826032000).

Almost surely, 2^{32212021220120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32212021220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42345732096000).

32212021220120 is an abundant number, since it is smaller than the sum of its proper divisors (52479442971880).

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

32212021220120 is a wasteful number, since it uses less digits than its factorization.

32212021220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16978 (or 16974 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 32212021220120 its reverse (2102212021223), we get a palindrome (34314233241343).

The spelling of 32212021220120 in words is "thirty-two trillion, two hundred twelve billion, twenty-one million, two hundred twenty thousand, one hundred twenty".