31422133200 has 240 divisors, whose sum is σ = 104618304000. Its totient is φ = 8053094400.

The previous prime is 31422133181. The next prime is 31422133207. The reversal of 31422133200 is 233122413.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31422133207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5539966 + ... + 5545634.

It is an arithmetic number, because the mean of its divisors is an integer number (435909600).

Almost surely, 2^31422133200 is an apocalyptic number.

31422133200 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 31422133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52309152000).

31422133200 is an abundant number, since it is smaller than the sum of its proper divisors (73196170800).

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

31422133200 is a wasteful number, since it uses less digits than its factorization.

31422133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 31422133200 its reverse (233122413), we get a palindrome (31655255613).

It can be divided in two parts, 3142213 and 3200, that added together give a palindrome (3145413).

The spelling of 31422133200 in words is "thirty-one billion, four hundred twenty-two million, one hundred thirty-three thousand, two hundred".