31225170242112 has 336 divisors, whose sum is σ = 104855624720640. Its totient is φ = 8109367526400.

The previous prime is 31225170242099. The next prime is 31225170242113. The reversal of 31225170242112 is 21124207152213.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×31225170242112² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (31225170242113) 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, 1061668687 + ... + 1061698097.

Almost surely, 2^{31225170242112} is an apocalyptic number.

31225170242112 is a gapful number since it is divisible by the number (32) 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 31225170242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52427812360320).

31225170242112 is an abundant number, since it is smaller than the sum of its proper divisors (73630454478528).

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

31225170242112 is a wasteful number, since it uses less digits than its factorization.

31225170242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39710 (or 39693 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

Adding to 31225170242112 its reverse (21124207152213), we get a palindrome (52349377394325).

The spelling of 31225170242112 in words is "thirty-one trillion, two hundred twenty-five billion, one hundred seventy million, two hundred forty-two thousand, one hundred twelve".