1001245977200 has 240 divisors, whose sum is σ = 2827185120000. Its totient is φ = 333669304320.

The previous prime is 1001245977157. The next prime is 1001245977229. The reversal of 1001245977200 is 27795421001.

It is a happy number.

1001245977200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14668751 + ... + 14736849.

It is an arithmetic number, because the mean of its divisors is an integer number (11779938000).

Almost surely, 2^{1001245977200} is an apocalyptic number.

1001245977200 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 1001245977200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413592560000).

1001245977200 is an abundant number, since it is smaller than the sum of its proper divisors (1825939142800).

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

1001245977200 is a wasteful number, since it uses less digits than its factorization.

1001245977200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68272 (or 68261 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 1001245977200 in words is "one trillion, one billion, two hundred forty-five million, nine hundred seventy-seven thousand, two hundred".