212222220100000 has 1152 divisors, whose sum is σ = 590563009548288. Its totient is φ = 74419200000000.

The previous prime is 212222220099983. The next prime is 212222220100019. The reversal of 212222220100000 is 1022222212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1111111099905 + ... + 1111111100095.

It is an arithmetic number, because the mean of its divisors is an integer number (512641501344).

Almost surely, 2^{212222220100000} is an apocalyptic number.

212222220100000 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 212222220100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295281504774144).

212222220100000 is an abundant number, since it is smaller than the sum of its proper divisors (378340789448288).

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

212222220100000 is a wasteful number, since it uses less digits than its factorization.

212222220100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212222220100000 its reverse (1022222212), we get a palindrome (212223242322212).

It can be divided in two parts, 2122222 and 20100000, that added together give a palindrome (22222222).

The spelling of 212222220100000 in words is "two hundred twelve trillion, two hundred twenty-two billion, two hundred twenty million, one hundred thousand".