213111201000012 has 384 divisors, whose sum is σ = 600035571007488. Its totient is φ = 57608999884800.

The previous prime is 213111201000007. The next prime is 213111201000013. The reversal of 213111201000012 is 210000102111312.

213111201000012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213111200999955 and 213111201000000.

It is not an unprimeable number, because it can be changed into a prime (213111201000013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6282186883 + ... + 6282220805.

It is an arithmetic number, because the mean of its divisors is an integer number (1562592632832).

Almost surely, 2^{213111201000012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213111201000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300017785503744).

213111201000012 is an abundant number, since it is smaller than the sum of its proper divisors (386924370007476).

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

213111201000012 is a wasteful number, since it uses less digits than its factorization.

213111201000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34429 (or 34427 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 213111201000012 its reverse (210000102111312), we get a palindrome (423111303111324).

The spelling of 213111201000012 in words is "two hundred thirteen trillion, one hundred eleven billion, two hundred one million, twelve", and thus it is an aban number.