20121332 has 36 divisors (see below), whose sum is σ = 44241120. Its totient is φ = 7838160.

The previous prime is 20121307. The next prime is 20121337. The reversal of 20121332 is 23312102.

20121332 = 434² + 435² + ... + 521².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 419 + ... + 6357.

It is an arithmetic number, because the mean of its divisors is an integer number (1228920).

Almost surely, 2^20121332 is an apocalyptic number.

20121332 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 20121332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22120560).

20121332 is an abundant number, since it is smaller than the sum of its proper divisors (24119788).

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

20121332 is a wasteful number, since it uses less digits than its factorization.

20121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5972 (or 5959 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 20121332 is about 4485.6807733052. The cubic root of 20121332 is about 271.9895649111.

Adding to 20121332 its reverse (23312102), we get a palindrome (43433434).

The spelling of 20121332 in words is "twenty million, one hundred twenty-one thousand, three hundred thirty-two".