1000212120120 has 64 divisors (see below), whose sum is σ = 3004917121440. Its totient is φ = 266342720000.

The previous prime is 1000212120113. The next prime is 1000212120121. The reversal of 1000212120120 is 210212120001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000212120096 and 1000212120105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000212120121) 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 15 ways as a sum of consecutive naturals, for example, 5861031 + ... + 6029270.

Almost surely, 2^{1000212120120} is an apocalyptic number.

1000212120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000212120120 is an abundant number, since it is smaller than the sum of its proper divisors (2004705001320).

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

1000212120120 is a wasteful number, since it uses less digits than its factorization.

1000212120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11891016 (or 11891012 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1000212120120 its reverse (210212120001), we get a palindrome (1210424240121).

The spelling of 1000212120120 in words is "one trillion, two hundred twelve million, one hundred twenty thousand, one hundred twenty".