1000120176000 has 2304 divisors, whose sum is σ = 4354067390400. Its totient is φ = 225358848000.

The previous prime is 1000120175993. The next prime is 1000120176043. The reversal of 1000120176000 is 6710210001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18870191974 + ... + 18870192026.

Almost surely, 2^{1000120176000} is an apocalyptic number.

1000120176000 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 1000120176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177033695200).

1000120176000 is an abundant number, since it is smaller than the sum of its proper divisors (3353947214400).

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

1000120176000 is a wasteful number, since it uses less digits than its factorization.

1000120176000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 1000120176000 its reverse (6710210001), we get a palindrome (1006830386001).

The spelling of 1000120176000 in words is "one trillion, one hundred twenty million, one hundred seventy-six thousand".