10123241123000 has 128 divisors (see below), whose sum is σ = 24274993317120. Its totient is φ = 3949609753600.

The previous prime is 10123241122991. The next prime is 10123241123053. The reversal of 10123241123000 is 32114232101.

It is a super-2 number, since 2×10123241123000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13403444 + ... + 14138556.

It is an arithmetic number, because the mean of its divisors is an integer number (189648385290).

Almost surely, 2^{10123241123000} is an apocalyptic number.

10123241123000 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 10123241123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12137496658560).

10123241123000 is an abundant number, since it is smaller than the sum of its proper divisors (14151752194120).

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

10123241123000 is a wasteful number, since it uses less digits than its factorization.

10123241123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735474 (or 735460 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10123241123000 its reverse (32114232101), we get a palindrome (10155355355101).

The spelling of 10123241123000 in words is "ten trillion, one hundred twenty-three billion, two hundred forty-one million, one hundred twenty-three thousand".