10123223121000 has 1152 divisors, whose sum is σ = 40796542594080. Its totient is φ = 2253250560000.

The previous prime is 10123223120999. The next prime is 10123223121103. The reversal of 10123223121000 is 12132232101.

10123223121000 is a `hidden beast` number, since 10 + 12 + 322 + 312 + 10 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2001030918084 + 8122192202916 = 1414578^2 + 2849946^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 759026332 + ... + 759039668.

Almost surely, 2^{10123223121000} is an apocalyptic number.

10123223121000 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 10123223121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20398271297040).

10123223121000 is an abundant number, since it is smaller than the sum of its proper divisors (30673319473080).

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

10123223121000 is a wasteful number, since it uses less digits than its factorization.

10123223121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13444 (or 13416 counting only the distinct ones).

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

Adding to 10123223121000 its reverse (12132232101), we get a palindrome (10135355353101).

It can be divided in two parts, 101232 and 23121000, that added together give a palindrome (23222232).

The spelling of 10123223121000 in words is "ten trillion, one hundred twenty-three billion, two hundred twenty-three million, one hundred twenty-one thousand".