1000211322000 has 320 divisors, whose sum is σ = 3519728080128. Its totient is φ = 242344960000.

The previous prime is 1000211321981. The next prime is 1000211322031. The reversal of 1000211322000 is 2231120001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188823352 + ... + 188828648.

Almost surely, 2^{1000211322000} is an apocalyptic number.

1000211322000 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 1000211322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759864040064).

1000211322000 is an abundant number, since it is smaller than the sum of its proper divisors (2519516758128).

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

1000211322000 is a wasteful number, since it uses less digits than its factorization.

1000211322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8195 (or 8179 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1000211322000 its reverse (2231120001), we get a palindrome (1002442442001).

The spelling of 1000211322000 in words is "one trillion, two hundred eleven million, three hundred twenty-two thousand".