1377201126000 has 640 divisors, whose sum is σ = 5279222108160. Its totient is φ = 302206464000.

The previous prime is 1377201125987. The next prime is 1377201126001. The reversal of 1377201126000 is 6211027731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377201126001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 220454877 + ... + 220461123.

It is an arithmetic number, because the mean of its divisors is an integer number (8248784544).

Almost surely, 2^{1377201126000} is an apocalyptic number.

1377201126000 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 1377201126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639611054080).

1377201126000 is an abundant number, since it is smaller than the sum of its proper divisors (3902020982160).

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

1377201126000 is a wasteful number, since it uses less digits than its factorization.

1377201126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6490 (or 6474 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The spelling of 1377201126000 in words is "one trillion, three hundred seventy-seven billion, two hundred one million, one hundred twenty-six thousand".