122232211101000 has 1536 divisors, whose sum is σ = 569705767787520. Its totient is φ = 22811424768000.

The previous prime is 122232211100959. The next prime is 122232211101017. The reversal of 122232211101000 is 101112232221.

122232211101000 is a `hidden beast` number, since 1 + 222 + 322 + 1 + 110 + 10 + 0 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 333149652 + ... + 333516348.

It is an arithmetic number, because the mean of its divisors is an integer number (370902192570).

Almost surely, 2^{122232211101000} is an apocalyptic number.

122232211101000 is a gapful number since it is divisible by the number (10) 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 122232211101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284852883893760).

122232211101000 is an abundant number, since it is smaller than the sum of its proper divisors (447473556686520).

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

122232211101000 is a wasteful number, since it uses less digits than its factorization.

122232211101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366792 (or 366775 counting only the distinct ones).

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

Adding to 122232211101000 its reverse (101112232221), we get a palindrome (122333323333221).

The spelling of 122232211101000 in words is "one hundred twenty-two trillion, two hundred thirty-two billion, two hundred eleven million, one hundred one thousand".