1314216021012 has 96 divisors (see below), whose sum is σ = 3242259377280. Its totient is φ = 413731852800.

The previous prime is 1314216021011. The next prime is 1314216021029. The reversal of 1314216021012 is 2101206124131.

It is a super-2 number, since 2×1314216021012² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314216021011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2692038 + ... + 3142530.

It is an arithmetic number, because the mean of its divisors is an integer number (33773535180).

Almost surely, 2^{1314216021012} is an apocalyptic number.

1314216021012 is a gapful number since it is divisible by the number (12) 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 1314216021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621129688640).

1314216021012 is an abundant number, since it is smaller than the sum of its proper divisors (1928043356268).

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

1314216021012 is a wasteful number, since it uses less digits than its factorization.

1314216021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450713 (or 450711 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 1314216021012 in words is "one trillion, three hundred fourteen billion, two hundred sixteen million, twenty-one thousand, twelve".