31322412000 has 1152 divisors, whose sum is σ = 133937556480. Its totient is φ = 6842880000.

The previous prime is 31322411987. The next prime is 31322412067. The reversal of 31322412000 is 21422313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173051910 + ... + 173052090.

It is an arithmetic number, because the mean of its divisors is an integer number (116265240).

Almost surely, 2^31322412000 is an apocalyptic number.

31322412000 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 31322412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66968778240).

31322412000 is an abundant number, since it is smaller than the sum of its proper divisors (102615144480).

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

31322412000 is a wasteful number, since it uses less digits than its factorization.

31322412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31322412000 its reverse (21422313), we get a palindrome (31343834313).

The spelling of 31322412000 in words is "thirty-one billion, three hundred twenty-two million, four hundred twelve thousand".