1300124144000 has 256 divisors, whose sum is σ = 3529103385600. Its totient is φ = 472395520000.

The previous prime is 1300124143951. The next prime is 1300124144009. The reversal of 1300124144000 is 4414210031.

It is a super-3 number, since 3×1300124144000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300124144009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318733961 + ... + 318738039.

It is an arithmetic number, because the mean of its divisors is an integer number (13785560100).

Almost surely, 2^{1300124144000} is an apocalyptic number.

1300124144000 is a gapful number since it is divisible by the number (10) 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 1300124144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764551692800).

1300124144000 is an abundant number, since it is smaller than the sum of its proper divisors (2228979241600).

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

1300124144000 is a wasteful number, since it uses less digits than its factorization.

1300124144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5930 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1300124144000 its reverse (4414210031), we get a palindrome (1304538354031).

The spelling of 1300124144000 in words is "one trillion, three hundred billion, one hundred twenty-four million, one hundred forty-four thousand".