1012014452000 has 96 divisors (see below), whose sum is σ = 2488004863344. Its totient is φ = 404563968000.

The previous prime is 1012014451999. The next prime is 1012014452003. The reversal of 1012014452000 is 2544102101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 104880117904 + 907134334096 = 323852^2 + 952436^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1012014452003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6697280 + ... + 6846720.

Almost surely, 2^{1012014452000} is an apocalyptic number.

1012014452000 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 1012014452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244002431672).

1012014452000 is an abundant number, since it is smaller than the sum of its proper divisors (1475990411344).

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

1012014452000 is a wasteful number, since it uses less digits than its factorization.

1012014452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151159 (or 151141 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 1012014452000 its reverse (2544102101), we get a palindrome (1014558554101).

The spelling of 1012014452000 in words is "one trillion, twelve billion, fourteen million, four hundred fifty-two thousand".