102311201223000 has 2048 divisors, whose sum is σ = 453327114240000. Its totient is φ = 20726254080000.

The previous prime is 102311201222941. The next prime is 102311201223013. The reversal of 102311201223000 is 322102113201.

102311201223000 is a `hidden beast` number, since 1 + 0 + 231 + 1 + 201 + 2 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 93777452455 + ... + 93777453545.

It is an arithmetic number, because the mean of its divisors is an integer number (221351130000).

Almost surely, 2^{102311201223000} is an apocalyptic number.

102311201223000 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 102311201223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226663557120000).

102311201223000 is an abundant number, since it is smaller than the sum of its proper divisors (351015913017000).

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

102311201223000 is a wasteful number, since it uses less digits than its factorization.

102311201223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2211 counting only the distinct ones).

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

Adding to 102311201223000 its reverse (322102113201), we get a palindrome (102633303336201).

The spelling of 102311201223000 in words is "one hundred two trillion, three hundred eleven billion, two hundred one million, two hundred twenty-three thousand".