23122111012000 has 768 divisors, whose sum is σ = 76675526194176. Its totient is φ = 6617825280000.

The previous prime is 23122111011949. The next prime is 23122111012003. The reversal of 23122111012000 is 21011122132.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (23122111012003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 772757040 + ... + 772786960.

It is an arithmetic number, because the mean of its divisors is an integer number (99837924732).

Almost surely, 2^{23122111012000} is an apocalyptic number.

23122111012000 is a gapful number since it is divisible by the number (20) 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 23122111012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38337763097088).

23122111012000 is an abundant number, since it is smaller than the sum of its proper divisors (53553415182176).

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

23122111012000 is a wasteful number, since it uses less digits than its factorization.

23122111012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30170 (or 30152 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 23122111012000 its reverse (21011122132), we get a palindrome (23143122134132).

The spelling of 23122111012000 in words is "twenty-three trillion, one hundred twenty-two billion, one hundred eleven million, twelve thousand".