212012212001000 has 64 divisors (see below), whose sum is σ = 508208785353360. Its totient is φ = 82736472960000.

The previous prime is 212012212000973. The next prime is 212012212001011. The reversal of 212012212001000 is 100212210212.

It can be written as a sum of positive squares in 8 ways, for example, as 5015566286116 + 206996645714884 = 2239546^2 + 14387378^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2585473781 + ... + 2585555780.

Almost surely, 2^{212012212001000} is an apocalyptic number.

212012212001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012212001000 is an abundant number, since it is smaller than the sum of its proper divisors (296196573352360).

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

212012212001000 is a wasteful number, since it uses less digits than its factorization.

212012212001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5171029623 (or 5171029609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212012212001000 its reverse (100212210212), we get a palindrome (212112424211212).

The spelling of 212012212001000 in words is "two hundred twelve trillion, twelve billion, two hundred twelve million, one thousand".