1014212000000 has 126 divisors (see below), whose sum is σ = 2530555381914. Its totient is φ = 405683200000.

The previous prime is 1014211999949. The next prime is 1014212000099. The reversal of 1014212000000 is 2124101.

1014212000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 1003555154176 + 10656845824 = 1001776^2 + 103232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3873224 + ... + 4126776.

Almost surely, 2^{1014212000000} is an apocalyptic number.

1014212000000 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 1014212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265277690957).

1014212000000 is an abundant number, since it is smaller than the sum of its proper divisors (1516343381914).

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

1014212000000 is an frugal number, since it uses more digits than its factorization.

1014212000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253599 (or 253560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1014212000000 its reverse (2124101), we get a palindrome (1014214124101).

The spelling of 1014212000000 in words is "one trillion, fourteen billion, two hundred twelve million", and thus it is an aban number.