1372124728800 has 1152 divisors, whose sum is σ = 5842876032000. Its totient is φ = 304238592000.

The previous prime is 1372124728783. The next prime is 1372124728859. The reversal of 1372124728800 is 88274212731.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1308030676 + ... + 1308031724.

It is an arithmetic number, because the mean of its divisors is an integer number (5071941000).

Almost surely, 2^{1372124728800} is an apocalyptic number.

1372124728800 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 1372124728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921438016000).

1372124728800 is an abundant number, since it is smaller than the sum of its proper divisors (4470751303200).

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

1372124728800 is a wasteful number, since it uses less digits than its factorization.

1372124728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 1372124728800 in words is "one trillion, three hundred seventy-two billion, one hundred twenty-four million, seven hundred twenty-eight thousand, eight hundred".