31122211440 has 160 divisors (see below), whose sum is σ = 102260508480. Its totient is φ = 7802929152.

The previous prime is 31122211427. The next prime is 31122211573. The reversal of 31122211440 is 4411222113.

It is a congruent number.

It is an unprimeable number.

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, 4553946 + ... + 4560774.

It is an arithmetic number, because the mean of its divisors is an integer number (639128178).

Almost surely, 2^31122211440 is an apocalyptic number.

31122211440 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 31122211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51130254240).

31122211440 is an abundant number, since it is smaller than the sum of its proper divisors (71138297040).

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

31122211440 is a wasteful number, since it uses less digits than its factorization.

31122211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7979 (or 7973 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 31122211440 its reverse (4411222113), we get a palindrome (35533433553).

The spelling of 31122211440 in words is "thirty-one billion, one hundred twenty-two million, two hundred eleven thousand, four hundred forty".