10000212000012 has 72 divisors (see below), whose sum is σ = 27231731654400. Its totient is φ = 3075978689280.

The previous prime is 10000212000007. The next prime is 10000212000013. The reversal of 10000212000012 is 21000021200001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10000211999958 and 10000212000003.

It is not an unprimeable number, because it can be changed into a prime (10000212000013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2077164 + ... + 4931027.

It is an arithmetic number, because the mean of its divisors is an integer number (378218495200).

Almost surely, 2^{10000212000012} is an apocalyptic number.

10000212000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000212000012 is an abundant number, since it is smaller than the sum of its proper divisors (17231519654388).

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

10000212000012 is a wasteful number, since it uses less digits than its factorization.

10000212000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7011263 (or 7011258 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10000212000012 its reverse (21000021200001), we get a palindrome (31000233200013).

It can be divided in two parts, 1000021200001 and 2, that multiplied together give a palindrome (2000042400002).

The spelling of 10000212000012 in words is "ten trillion, two hundred twelve million, twelve", and thus it is an aban number.