122322231201000 has 256 divisors, whose sum is σ = 382212481248000. Its totient is φ = 32570818867200.

The previous prime is 122322231200999. The next prime is 122322231201059. The reversal of 122322231201000 is 102132223221.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8731681996 + ... + 8731696004.

It is an arithmetic number, because the mean of its divisors is an integer number (1493017504875).

Almost surely, 2^{122322231201000} is an apocalyptic number.

122322231201000 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 122322231201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191106240624000).

122322231201000 is an abundant number, since it is smaller than the sum of its proper divisors (259890250047000).

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

122322231201000 is a wasteful number, since it uses less digits than its factorization.

122322231201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18149 (or 18135 counting only the distinct ones).

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

Adding to 122322231201000 its reverse (102132223221), we get a palindrome (122424363424221).

The spelling of 122322231201000 in words is "one hundred twenty-two trillion, three hundred twenty-two billion, two hundred thirty-one million, two hundred one thousand".