10222212000 has 1536 divisors, whose sum is σ = 48185819136. Its totient is φ = 1824768000.

The previous prime is 10222211981. The next prime is 10222212041. The reversal of 10222212000 is 21222201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 276275982 + ... + 276276018.

It is an arithmetic number, because the mean of its divisors is an integer number (31370976).

Almost surely, 2^10222212000 is an apocalyptic number.

10222212000 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 10222212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24092909568).

10222212000 is an abundant number, since it is smaller than the sum of its proper divisors (37963607136).

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

10222212000 is a wasteful number, since it uses less digits than its factorization.

10222212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

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

Adding to 10222212000 its reverse (21222201), we get a palindrome (10243434201).

It can be divided in two parts, 10222 and 212000, that added together give a palindrome (222222).

The spelling of 10222212000 in words is "ten billion, two hundred twenty-two million, two hundred twelve thousand".