31121214400 has 84 divisors (see below), whose sum is σ = 76823531392. Its totient is φ = 12408514560.

The previous prime is 31121214389. The next prime is 31121214409. The reversal of 31121214400 is 441212113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31121214409) 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, 469729 + ... + 531871.

Almost surely, 2^31121214400 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 31121214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38411765696).

31121214400 is an abundant number, since it is smaller than the sum of its proper divisors (45702316992).

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

31121214400 is a wasteful number, since it uses less digits than its factorization.

31121214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62478 (or 62463 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 31121214400 its reverse (441212113), we get a palindrome (31562426513).

The spelling of 31121214400 in words is "thirty-one billion, one hundred twenty-one million, two hundred fourteen thousand, four hundred".