144311214133212 has 192 divisors, whose sum is σ = 394311509458944. Its totient is φ = 40218515124480.

The previous prime is 144311214133211. The next prime is 144311214133253. The reversal of 144311214133212 is 212331412113441.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144311214133211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10784778762 + ... + 10784792142.

It is an arithmetic number, because the mean of its divisors is an integer number (2053705778432).

Almost surely, 2^{144311214133212} is an apocalyptic number.

144311214133212 is a gapful number since it is divisible by the number (12) 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 144311214133212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197155754729472).

144311214133212 is an abundant number, since it is smaller than the sum of its proper divisors (250000295325732).

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

144311214133212 is a wasteful number, since it uses less digits than its factorization.

144311214133212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17248 (or 17246 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

Adding to 144311214133212 its reverse (212331412113441), we get a palindrome (356642626246653).

The spelling of 144311214133212 in words is "one hundred forty-four trillion, three hundred eleven billion, two hundred fourteen million, one hundred thirty-three thousand, two hundred twelve".