322211100120000 has 1120 divisors, whose sum is σ = 1343125718989824. Its totient is φ = 66324787200000.

The previous prime is 322211100119893. The next prime is 322211100120059. The reversal of 322211100120000 is 21001112223.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-3 number, since 3×322211100120000³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 447360165 + ... + 448079835.

Almost surely, 2^{322211100120000} is an apocalyptic number.

322211100120000 is a gapful number since it is divisible by the number (30) 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 322211100120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671562859494912).

322211100120000 is an abundant number, since it is smaller than the sum of its proper divisors (1020914618869824).

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

322211100120000 is a wasteful number, since it uses less digits than its factorization.

322211100120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719767 (or 719742 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 322211100120000 its reverse (21001112223), we get a palindrome (322232101232223).

The spelling of 322211100120000 in words is "three hundred twenty-two trillion, two hundred eleven billion, one hundred million, one hundred twenty thousand".