22222322100000 has 3456 divisors, whose sum is σ = 97094425559040. Its totient is φ = 4758912000000.

The previous prime is 22222322099921. The next prime is 22222322100053. The reversal of 22222322100000 is 122322222.

22222322100000 is a `hidden beast` number, since 2 + 222 + 232 + 210 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×22222322100000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 215750699949 + ... + 215750700051.

It is an arithmetic number, because the mean of its divisors is an integer number (28094451840).

Almost surely, 2^{22222322100000} is an apocalyptic number.

22222322100000 is a gapful number since it is divisible by the number (20) 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 22222322100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48547212779520).

22222322100000 is an abundant number, since it is smaller than the sum of its proper divisors (74872103459040).

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

22222322100000 is a wasteful number, since it uses less digits than its factorization.

22222322100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22222322100000 its reverse (122322222), we get a palindrome (22222444422222).

It can be divided in two parts, 22222322 and 100000, that added together give a palindrome (22322322).

The spelling of 22222322100000 in words is "twenty-two trillion, two hundred twenty-two billion, three hundred twenty-two million, one hundred thousand".