212420201040 has 60 divisors (see below), whose sum is σ = 713377844244. Its totient is φ = 56645386752.

The previous prime is 212420201029. The next prime is 212420201041. The reversal of 212420201040 is 40102024212.

212420201040 is a `hidden beast` number, since 2 + 1 + 2 + 420 + 201 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44493996096 + 167926204944 = 210936^2 + 409788^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 (212420201041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147513309 + ... + 147514748.

Almost surely, 2^212420201040 is an apocalyptic number.

212420201040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212420201040 is an abundant number, since it is smaller than the sum of its proper divisors (500957643204).

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

212420201040 is a wasteful number, since it uses less digits than its factorization.

212420201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295028076 (or 295028067 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212420201040 its reverse (40102024212), we get a palindrome (252522225252).

The spelling of 212420201040 in words is "two hundred twelve billion, four hundred twenty million, two hundred one thousand, forty".