1372038012000 has 288 divisors, whose sum is σ = 4904923330944. Its totient is φ = 363204864000.

The previous prime is 1372038011989. The next prime is 1372038012019. The reversal of 1372038012000 is 2108302731.

1372038012000 is a `hidden beast` number, since 13 + 72 + 0 + 380 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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, 4792905 + ... + 5071095.

It is an arithmetic number, because the mean of its divisors is an integer number (17030983788).

Almost surely, 2^{1372038012000} is an apocalyptic number.

1372038012000 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 1372038012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452461665472).

1372038012000 is an abundant number, since it is smaller than the sum of its proper divisors (3532885318944).

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

1372038012000 is a wasteful number, since it uses less digits than its factorization.

1372038012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278359 (or 278338 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 1372038012000 in words is "one trillion, three hundred seventy-two billion, thirty-eight million, twelve thousand".