1012194144000 has 3456 divisors, whose sum is σ = 4679801118720. Its totient is φ = 214990848000.

The previous prime is 1012194143959. The next prime is 1012194144007. The reversal of 1012194144000 is 4414912101.

1012194144000 is a `hidden beast` number, since 1 + 0 + 1 + 219 + 4 + 1 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012194144007) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 32651423985 + ... + 32651424015.

It is an arithmetic number, because the mean of its divisors is an integer number (1354109120).

Almost surely, 2^{1012194144000} is an apocalyptic number.

1012194144000 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 1012194144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339900559360).

1012194144000 is an abundant number, since it is smaller than the sum of its proper divisors (3667606974720).

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

1012194144000 is a wasteful number, since it uses less digits than its factorization.

1012194144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 1012194144000 in words is "one trillion, twelve billion, one hundred ninety-four million, one hundred forty-four thousand".