212012211022002 has 256 divisors, whose sum is σ = 514038472496640. Its totient is φ = 64508252774400.

The previous prime is 212012211021983. The next prime is 212012211022033. The reversal of 212012211022002 is 200220112210212.

It is a happy number.

212012211022002 is a `hidden beast` number, since 21 + 201 + 221 + 1 + 0 + 220 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26725347228 + ... + 26725355160.

It is an arithmetic number, because the mean of its divisors is an integer number (2007962783190).

Almost surely, 2^{212012211022002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212012211022002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257019236248320).

212012211022002 is an abundant number, since it is smaller than the sum of its proper divisors (302026261474638).

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

212012211022002 is a wasteful number, since it uses less digits than its factorization.

212012211022002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12106 (or 12100 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212012211022002 its reverse (200220112210212), we get a palindrome (412232323232214).

The spelling of 212012211022002 in words is "two hundred twelve trillion, twelve billion, two hundred eleven million, twenty-two thousand, two".