212211133201000 has 32 divisors (see below), whose sum is σ = 496574051692680. Its totient is φ = 84884453280000.

The previous prime is 212211133200971. The next prime is 212211133201073. The reversal of 212211133201000 is 102331112212.

It can be written as a sum of positive squares in 4 ways, for example, as 33331154542596 + 178879978658404 = 5773314^2 + 13374602^2 .

It is a super-4 number, since 4×212211133201000⁴ (a number of 58 digits) contains 4444 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 106105565601 + ... + 106105567600.

Almost surely, 2^{212211133201000} is an apocalyptic number.

212211133201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211133201000 is an abundant number, since it is smaller than the sum of its proper divisors (284362918491680).

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

212211133201000 is a wasteful number, since it uses less digits than its factorization.

212211133201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212211133222 (or 212211133208 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 212211133201000 its reverse (102331112212), we get a palindrome (212313464313212).

The spelling of 212211133201000 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred thirty-three million, two hundred one thousand".