122321113122000 has 640 divisors, whose sum is σ = 439526763486720. Its totient is φ = 29059430400000.

The previous prime is 122321113121981. The next prime is 122321113122077. The reversal of 122321113122000 is 221311123221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6177512100 + ... + 6177531900.

It is an arithmetic number, because the mean of its divisors is an integer number (686760567948).

Almost surely, 2^{122321113122000} is an apocalyptic number.

122321113122000 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 122321113122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219763381743360).

122321113122000 is an abundant number, since it is smaller than the sum of its proper divisors (317205650364720).

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

122321113122000 is a wasteful number, since it uses less digits than its factorization.

122321113122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22600 (or 22584 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 122321113122000 its reverse (221311123221), we get a palindrome (122542424245221).

It can be divided in two parts, 12232111 and 3122000, that added together give a triangular number (15354111 = T₅₅₄₁).

The spelling of 122321113122000 in words is "one hundred twenty-two trillion, three hundred twenty-one billion, one hundred thirteen million, one hundred twenty-two thousand".