212011222120000 has 140 divisors (see below), whose sum is σ = 556643571772860. Its totient is φ = 79815989248000.

The previous prime is 212011222119973. The next prime is 212011222120043. The reversal of 212011222120000 is 21222110212.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 107226190680064 + 104785031439936 = 10355008^2 + 10236456^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 155210605 + ... + 156570604.

Almost surely, 2^{212011222120000} is an apocalyptic number.

212011222120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011222120000 is an abundant number, since it is smaller than the sum of its proper divisors (344632349652860).

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

212011222120000 is an equidigital number, since it uses as much as digits as its factorization.

212011222120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311781258 (or 311781233 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212011222120000 its reverse (21222110212), we get a palindrome (212032444230212).

The spelling of 212011222120000 in words is "two hundred twelve trillion, eleven billion, two hundred twenty-two million, one hundred twenty thousand".