1000212120000 has 840 divisors, whose sum is σ = 3742692105152. Its totient is φ = 255052800000.

The previous prime is 1000212119993. The next prime is 1000212120049. The reversal of 1000212120000 is 212120001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 812519385 + ... + 812520615.

Almost surely, 2^{1000212120000} is an apocalyptic number.

1000212120000 is a gapful number since it is divisible by the number (10) 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 1000212120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871346052576).

1000212120000 is an abundant number, since it is smaller than the sum of its proper divisors (2742479985152).

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

1000212120000 is a wasteful number, since it uses less digits than its factorization.

1000212120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000212120000 its reverse (212120001), we get a palindrome (1000424240001).

Subtracting from 1000212120000 its reverse (212120001), we obtain a palindrome (999999999999).

The spelling of 1000212120000 in words is "one trillion, two hundred twelve million, one hundred twenty thousand".