122123321101000 has 128 divisors (see below), whose sum is σ = 295215504030720. Its totient is φ = 47236910400000.

The previous prime is 122123321100983. The next prime is 122123321101003. The reversal of 122123321101000 is 101123321221.

It is not an unprimeable number, because it can be changed into a prime (122123321101003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38495260 + ... + 41546740.

It is an arithmetic number, because the mean of its divisors is an integer number (2306371125240).

Almost surely, 2^{122123321101000} is an apocalyptic number.

122123321101000 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 122123321101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147607752015360).

122123321101000 is an abundant number, since it is smaller than the sum of its proper divisors (173092182929720).

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

122123321101000 is a wasteful number, since it uses less digits than its factorization.

122123321101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052824 (or 3052810 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122123321101000 its reverse (101123321221), we get a palindrome (122224444422221).

The spelling of 122123321101000 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, three hundred twenty-one million, one hundred one thousand".