10000212222000 has 1920 divisors, whose sum is σ = 44805896239104. Its totient is φ = 1865825280000.

The previous prime is 10000212221999. The next prime is 10000212222041. The reversal of 10000212222000 is 22221200001.

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 383 ways as a sum of consecutive naturals, for example, 2444439955 + ... + 2444444045.

Almost surely, 2^{10000212222000} is an apocalyptic number.

10000212222000 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 10000212222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22402948119552).

10000212222000 is an abundant number, since it is smaller than the sum of its proper divisors (34805684017104).

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

10000212222000 is a wasteful number, since it uses less digits than its factorization.

10000212222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4196 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10000212222000 its reverse (22221200001), we get a palindrome (10022433422001).

The spelling of 10000212222000 in words is "ten trillion, two hundred twelve million, two hundred twenty-two thousand".