20120022032 has 160 divisors (see below), whose sum is σ = 45987056640. Its totient is φ = 8430912000.

The previous prime is 20120022011. The next prime is 20120022037. The reversal of 20120022032 is 23022002102.

It is a junction number, because it is equal to n+sod(n) for n = 20120021998 and 20120022016.

It is not an unprimeable number, because it can be changed into a prime (20120022037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19705682 + ... + 19706702.

It is an arithmetic number, because the mean of its divisors is an integer number (287419104).

Almost surely, 2^20120022032 is an apocalyptic number.

20120022032 is a gapful number since it is divisible by the number (22) 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 20120022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22993528320).

20120022032 is an abundant number, since it is smaller than the sum of its proper divisors (25867034608).

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

20120022032 is a wasteful number, since it uses less digits than its factorization.

20120022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20120022032 its reverse (23022002102), we get a palindrome (43142024134).

The spelling of 20120022032 in words is "twenty billion, one hundred twenty million, twenty-two thousand, thirty-two".