122331003223000 has 512 divisors, whose sum is σ = 341614549785600. Its totient is φ = 40414201344000.

The previous prime is 122331003222997. The next prime is 122331003223001. The reversal of 122331003223000 is 322300133221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122331003223001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12522362116 + ... + 12522371884.

It is an arithmetic number, because the mean of its divisors is an integer number (667215917550).

Almost surely, 2^{122331003223000} is an apocalyptic number.

122331003223000 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 122331003223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170807274892800).

122331003223000 is an abundant number, since it is smaller than the sum of its proper divisors (219283546562600).

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

122331003223000 is a wasteful number, since it uses less digits than its factorization.

122331003223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11188 (or 11174 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 122331003223000 its reverse (322300133221), we get a palindrome (122653303356221).

The spelling of 122331003223000 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, three million, two hundred twenty-three thousand".