32122106820 has 576 divisors, whose sum is σ = 111200753664. Its totient is φ = 7759825920.

The previous prime is 32122106773. The next prime is 32122106827. The reversal of 32122106820 is 2860122123.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (32122106827) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 197068059 + ... + 197068221.

It is an arithmetic number, because the mean of its divisors is an integer number (193056864).

Almost surely, 2^32122106820 is an apocalyptic number.

32122106820 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 32122106820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55600376832).

32122106820 is an abundant number, since it is smaller than the sum of its proper divisors (79078646844).

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

32122106820 is a wasteful number, since it uses less digits than its factorization.

32122106820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 32122106820 its reverse (2860122123), we get a palindrome (34982228943).

The spelling of 32122106820 in words is "thirty-two billion, one hundred twenty-two million, one hundred six thousand, eight hundred twenty".