121211122000212 has 36 divisors (see below), whose sum is σ = 314675720631636. Its totient is φ = 39311715242880.

The previous prime is 121211122000151. The next prime is 121211122000217. The reversal of 121211122000212 is 212000221112121.

121211122000212 is a `hidden beast` number, since 1 + 21 + 211 + 1 + 220 + 0 + 0 + 212 = 666.

121211122000212 is digitally balanced in base 3, 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 2 ways, for example, as 117518521635216 + 3692600364996 = 10840596^2 + 1921614^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121211122000217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45499669089 + ... + 45499671752.

Almost surely, 2^{121211122000212} is an apocalyptic number.

121211122000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121211122000212 is an abundant number, since it is smaller than the sum of its proper divisors (193464598631424).

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

121211122000212 is a wasteful number, since it uses less digits than its factorization.

121211122000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90999340888 (or 90999340883 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121211122000212 its reverse (212000221112121), we get a palindrome (333211343112333).

The spelling of 121211122000212 in words is "one hundred twenty-one trillion, two hundred eleven billion, one hundred twenty-two million, two hundred twelve", and thus it is an aban number.