212322211320000 has 560 divisors, whose sum is σ = 719736995111904. Its totient is φ = 55190016000000.

The previous prime is 212322211319983. The next prime is 212322211320017. The reversal of 212322211320000 is 23112223212.

It is an interprime number because it is at equal distance from previous prime (212322211319983) and next prime (212322211320017).

It is a super-2 number, since 2×212322211320000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5810501730 + ... + 5810538270.

Almost surely, 2^{212322211320000} is an apocalyptic number.

212322211320000 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 212322211320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359868497555952).

212322211320000 is an abundant number, since it is smaller than the sum of its proper divisors (507414783791904).

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

212322211320000 is a wasteful number, since it uses less digits than its factorization.

212322211320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37798 (or 37773 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 212322211320000 its reverse (23112223212), we get a palindrome (212345323543212).

The spelling of 212322211320000 in words is "two hundred twelve trillion, three hundred twenty-two billion, two hundred eleven million, three hundred twenty thousand".