31144100222112 has 96 divisors (see below), whose sum is σ = 82538778373632. Its totient is φ = 10281669252864.

The previous prime is 31144100222087. The next prime is 31144100222143. The reversal of 31144100222112 is 21122200144113.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39288303 + ... + 40073169.

It is an arithmetic number, because the mean of its divisors is an integer number (859778941392).

Almost surely, 2^{31144100222112} is an apocalyptic number.

31144100222112 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 31144100222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41269389186816).

31144100222112 is an abundant number, since it is smaller than the sum of its proper divisors (51394678151520).

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

31144100222112 is a wasteful number, since it uses less digits than its factorization.

31144100222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788850 (or 788842 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 31144100222112 its reverse (21122200144113), we get a palindrome (52266300366225).

The spelling of 31144100222112 in words is "thirty-one trillion, one hundred forty-four billion, one hundred million, two hundred twenty-two thousand, one hundred twelve".