1344011229972 has 144 divisors (see below), whose sum is σ = 3636194142672. Its totient is φ = 417085194240.

The previous prime is 1344011229961. The next prime is 1344011229973. The reversal of 1344011229972 is 2799221104431.

1344011229972 is a `hidden beast` number, since 1 + 3 + 440 + 112 + 2 + 9 + 97 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5741699076 + 1338269530896 = 75774^2 + 1156836^2 .

It is a super-2 number, since 2×1344011229972² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344011229973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142053322 + ... + 142062782.

It is an arithmetic number, because the mean of its divisors is an integer number (25251348213).

Almost surely, 2^{1344011229972} is an apocalyptic number.

1344011229972 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 1344011229972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818097071336).

1344011229972 is an abundant number, since it is smaller than the sum of its proper divisors (2292182912700).

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

1344011229972 is a wasteful number, since it uses less digits than its factorization.

1344011229972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11978 (or 11973 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1344011229972 in words is "one trillion, three hundred forty-four billion, eleven million, two hundred twenty-nine thousand, nine hundred seventy-two".