102311220123000 has 1280 divisors, whose sum is σ = 414333485280000. Its totient is φ = 23066502451200.

The previous prime is 102311220122953. The next prime is 102311220123001. The reversal of 102311220123000 is 321022113201.

102311220123000 is a `hidden beast` number, since 1 + 0 + 231 + 1 + 2 + 201 + 230 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102311220123001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14152883386 + ... + 14152890614.

It is an arithmetic number, because the mean of its divisors is an integer number (323698035375).

Almost surely, 2^{102311220123000} is an apocalyptic number.

102311220123000 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 102311220123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207166742640000).

102311220123000 is an abundant number, since it is smaller than the sum of its proper divisors (312022265157000).

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

102311220123000 is a wasteful number, since it uses less digits than its factorization.

102311220123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7607 (or 7584 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102311220123000 its reverse (321022113201), we get a palindrome (102632242236201).

The spelling of 102311220123000 in words is "one hundred two trillion, three hundred eleven billion, two hundred twenty million, one hundred twenty-three thousand".