201222222122000 has 40 divisors (see below), whose sum is σ = 486555333095832. Its totient is φ = 80488888848000.

The previous prime is 201222222121951. The next prime is 201222222122003. The reversal of 201222222122000 is 221222222102.

It can be written as a sum of positive squares in 4 ways, for example, as 3915475307536 + 197306746814464 = 1978756^2 + 14046592^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (201222222122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50305553531 + ... + 50305557530.

Almost surely, 2^{201222222122000} is an apocalyptic number.

201222222122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222222122000 is an abundant number, since it is smaller than the sum of its proper divisors (285333110973832).

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

201222222122000 is a wasteful number, since it uses less digits than its factorization.

201222222122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100611111084 (or 100611111068 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 201222222122000 its reverse (221222222102), we get a palindrome (201443444344102).

It can be divided in two parts, 20122222 and 2122000, that added together give a palindrome (22244222).

The spelling of 201222222122000 in words is "two hundred one trillion, two hundred twenty-two billion, two hundred twenty-two million, one hundred twenty-two thousand".