1244072313120 has 1152 divisors, whose sum is σ = 5114241296640. Its totient is φ = 251658731520.

The previous prime is 1244072313053. The next prime is 1244072313139. The reversal of 1244072313120 is 213132704421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1533997515 + ... + 1533998325.

It is an arithmetic number, because the mean of its divisors is an integer number (4439445570).

Almost surely, 2^{1244072313120} is an apocalyptic number.

1244072313120 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 1244072313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557120648320).

1244072313120 is an abundant number, since it is smaller than the sum of its proper divisors (3870168983520).

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

1244072313120 is a wasteful number, since it uses less digits than its factorization.

1244072313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 1244072313120 in words is "one trillion, two hundred forty-four billion, seventy-two million, three hundred thirteen thousand, one hundred twenty".