10123234000000 has 224 divisors, whose sum is σ = 27500680799280. Its totient is φ = 3681168000000.

The previous prime is 10123233999971. The next prime is 10123234000043. The reversal of 10123234000000 is 43232101.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 21769927 + ... + 22230073.

Almost surely, 2^{10123234000000} is an apocalyptic number.

10123234000000 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 10123234000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13750340399640).

10123234000000 is an abundant number, since it is smaller than the sum of its proper divisors (17377446799280).

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

10123234000000 is an frugal number, since it uses more digits than its factorization.

10123234000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460202 (or 460165 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10123234000000 its reverse (43232101), we get a palindrome (10123277232101).

The spelling of 10123234000000 in words is "ten trillion, one hundred twenty-three billion, two hundred thirty-four million", and thus it is an aban number.