1000212433220 has 192 divisors, whose sum is σ = 2822067634176. Its totient is φ = 287580741120.

The previous prime is 1000212433201. The next prime is 1000212433229. The reversal of 1000212433220 is 223342120001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1000212433192 and 1000212433201.

It is not an unprimeable number, because it can be changed into a prime (1000212433229) 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 63 ways as a sum of consecutive naturals, for example, 31355399 + ... + 31387281.

It is an arithmetic number, because the mean of its divisors is an integer number (14698268928).

Almost surely, 2^{1000212433220} is an apocalyptic number.

1000212433220 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 1000212433220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411033817088).

1000212433220 is an abundant number, since it is smaller than the sum of its proper divisors (1821855200956).

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

1000212433220 is a wasteful number, since it uses less digits than its factorization.

1000212433220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33490 (or 33488 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1000212433220 its reverse (223342120001), we get a palindrome (1223554553221).

The spelling of 1000212433220 in words is "one trillion, two hundred twelve million, four hundred thirty-three thousand, two hundred twenty".