10121434323000 has 2048 divisors, whose sum is σ = 44193279836160. Its totient is φ = 1860848640000.

The previous prime is 10121434322959. The next prime is 10121434323017. The reversal of 10121434323000 is 32343412101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 7888880359 + ... + 7888881641.

It is an arithmetic number, because the mean of its divisors is an integer number (21578749920).

Almost surely, 2^{10121434323000} is an apocalyptic number.

10121434323000 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 10121434323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22096639918080).

10121434323000 is an abundant number, since it is smaller than the sum of its proper divisors (34071845513160).

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

10121434323000 is a wasteful number, since it uses less digits than its factorization.

10121434323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10121434323000 its reverse (32343412101), we get a palindrome (10153777735101).

The spelling of 10121434323000 in words is "ten trillion, one hundred twenty-one billion, four hundred thirty-four million, three hundred twenty-three thousand".