1000211032320 has 288 divisors, whose sum is σ = 3223754481024. Its totient is φ = 264280473600.

The previous prime is 1000211032291. The next prime is 1000211032321. The reversal of 1000211032320 is 232301120001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1000211032320.

It is not an unprimeable number, because it can be changed into a prime (1000211032321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473359584 + ... + 473361696.

It is an arithmetic number, because the mean of its divisors is an integer number (11193591948).

Almost surely, 2^{1000211032320} is an apocalyptic number.

1000211032320 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 1000211032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611877240512).

1000211032320 is an abundant number, since it is smaller than the sum of its proper divisors (2223543448704).

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

1000211032320 is a wasteful number, since it uses less digits than its factorization.

1000211032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1000211032320 its reverse (232301120001), we get a palindrome (1232512152321).

The spelling of 1000211032320 in words is "one trillion, two hundred eleven million, thirty-two thousand, three hundred twenty".