212201102212000 has 384 divisors, whose sum is σ = 575269175609856. Its totient is φ = 76285440000000.

The previous prime is 212201102211971. The next prime is 212201102212003. The reversal of 212201102212000 is 212201102212.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (212201102212003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2990776525 + ... + 2990847475.

It is an arithmetic number, because the mean of its divisors is an integer number (1498096811484).

Almost surely, 2^{212201102212000} is an apocalyptic number.

212201102212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212201102212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287634587804928).

212201102212000 is an abundant number, since it is smaller than the sum of its proper divisors (363068073397856).

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

212201102212000 is a wasteful number, since it uses less digits than its factorization.

212201102212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71761 (or 71743 counting only the distinct ones).

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

Adding to 212201102212000 its reverse (212201102212), we get a palindrome (212413303314212).

212201102212000 divided by its reverse (212201102212) gives a cube (1000 = 10³).

It can be divided in two parts, 212201 and 102212000, that added together give a palindrome (102424201).

The spelling of 212201102212000 in words is "two hundred twelve trillion, two hundred one billion, one hundred two million, two hundred twelve thousand".