322212011121000 has 4608 divisors, whose sum is σ = 1618711169886720. Its totient is φ = 56588378112000.

The previous prime is 322212011120897. The next prime is 322212011121047. The reversal of 322212011121000 is 121110212223.

322212011121000 is a `hidden beast` number, since 3 + 222 + 120 + 111 + 210 + 0 + 0 = 666.

It is a super-2 number, since 2×322212011121000² (a number of 30 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 polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 39666622939 + ... + 39666631061.

It is an arithmetic number, because the mean of its divisors is an integer number (351282805965).

Almost surely, 2^{322212011121000} is an apocalyptic number.

322212011121000 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 322212011121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809355584943360).

322212011121000 is an abundant number, since it is smaller than the sum of its proper divisors (1296499158765720).

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

322212011121000 is a wasteful number, since it uses less digits than its factorization.

322212011121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8242 (or 8218 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 322212011121000 its reverse (121110212223), we get a palindrome (322333121333223).

The spelling of 322212011121000 in words is "three hundred twenty-two trillion, two hundred twelve billion, eleven million, one hundred twenty-one thousand".