1012027137120 has 192 divisors, whose sum is σ = 3590617947840. Its totient is φ = 266176917504.

The previous prime is 1012027137103. The next prime is 1012027137133. The reversal of 1012027137120 is 217317202101.

1012027137120 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 0 + 271 + 371 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1289199 + ... + 1919918.

It is an arithmetic number, because the mean of its divisors is an integer number (18701135145).

Almost surely, 2^{1012027137120} is an apocalyptic number.

1012027137120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012027137120 is an abundant number, since it is smaller than the sum of its proper divisors (2578590810720).

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

1012027137120 is a wasteful number, since it uses less digits than its factorization.

1012027137120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209214 (or 3209200 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 1012027137120 in words is "one trillion, twelve billion, twenty-seven million, one hundred thirty-seven thousand, one hundred twenty".