10234314200000 has 336 divisors, whose sum is σ = 27788194754208. Its totient is φ = 3708633600000.

The previous prime is 10234314199973. The next prime is 10234314200017. The reversal of 10234314200000 is 241343201.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644592062 + ... + 644607938.

It is an arithmetic number, because the mean of its divisors is an integer number (82702960578).

Almost surely, 2^{10234314200000} is an apocalyptic number.

10234314200000 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 10234314200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13894097377104).

10234314200000 is an abundant number, since it is smaller than the sum of its proper divisors (17553880554208).

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

10234314200000 is an equidigital number, since it uses as much as digits as its factorization.

10234314200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16218 (or 16188 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10234314200000 its reverse (241343201), we get a palindrome (10234555543201).

The spelling of 10234314200000 in words is "ten trillion, two hundred thirty-four billion, three hundred fourteen million, two hundred thousand".