122321311101000 has 768 divisors, whose sum is σ = 452817489196800. Its totient is φ = 29536464384000.

The previous prime is 122321311100981. The next prime is 122321311101019. The reversal of 122321311101000 is 101113123221.

122321311101000 is a `hidden beast` number, since 1 + 22 + 321 + 311 + 1 + 0 + 10 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122321311100981) and next prime (122321311101019).

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 191 ways as a sum of consecutive naturals, for example, 55273975894 + ... + 55273978106.

It is an arithmetic number, because the mean of its divisors is an integer number (589606105725).

Almost surely, 2^{122321311101000} is an apocalyptic number.

122321311101000 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 122321311101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226408744598400).

122321311101000 is an abundant number, since it is smaller than the sum of its proper divisors (330496178095800).

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

122321311101000 is a wasteful number, since it uses less digits than its factorization.

122321311101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4207 (or 4190 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122321311101000 its reverse (101113123221), we get a palindrome (122422424224221).

The spelling of 122321311101000 in words is "one hundred twenty-two trillion, three hundred twenty-one billion, three hundred eleven million, one hundred one thousand".