32212011400 has 96 divisors (see below), whose sum is σ = 80795040840. Its totient is φ = 11897999360.

The previous prime is 32212011389. The next prime is 32212011407. The reversal of 32212011400 is 411021223.

It can be written as a sum of positive squares in 12 ways, for example, as 9766578276 + 22445433124 = 98826^2 + 149818^2 .

It is a super-2 number, since 2×32212011400² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32212011407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90822 + ... + 269578.

Almost surely, 2^32212011400 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 32212011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40397520420).

32212011400 is an abundant number, since it is smaller than the sum of its proper divisors (48583029440).

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

32212011400 is a wasteful number, since it uses less digits than its factorization.

32212011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178843 (or 178834 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 32212011400 its reverse (411021223), we get a palindrome (32623032623).

The spelling of 32212011400 in words is "thirty-two billion, two hundred twelve million, eleven thousand, four hundred".