222212222010000 has 1200 divisors, whose sum is σ = 808090818163200. Its totient is φ = 56937254400000.

The previous prime is 222212222009971. The next prime is 222212222010019. The reversal of 222212222010000 is 10222212222.

222212222010000 is a `hidden beast` number, since 2 + 222 + 122 + 220 + 100 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×222212222010000² (a number of 29 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 239 ways as a sum of consecutive naturals, for example, 201461669449 + ... + 201461670551.

It is an arithmetic number, because the mean of its divisors is an integer number (673409015136).

Almost surely, 2^{222212222010000} is an apocalyptic number.

222212222010000 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 222212222010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404045409081600).

222212222010000 is an abundant number, since it is smaller than the sum of its proper divisors (585878596153200).

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

222212222010000 is a wasteful number, since it uses less digits than its factorization.

222212222010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222212222010000 its reverse (10222212222), we get a palindrome (222222444222222).

The spelling of 222212222010000 in words is "two hundred twenty-two trillion, two hundred twelve billion, two hundred twenty-two million, ten thousand".