10229713312000 has 1728 divisors, whose sum is σ = 34058960732160. Its totient is φ = 2988969984000.

The previous prime is 10229713311947. The next prime is 10229713312057. The reversal of 10229713312000 is 21331792201.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26991327811 + ... + 26991328189.

It is an arithmetic number, because the mean of its divisors is an integer number (19710046720).

Almost surely, 2^{10229713312000} is an apocalyptic number.

10229713312000 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 10229713312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17029480366080).

10229713312000 is an abundant number, since it is smaller than the sum of its proper divisors (23829247420160).

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

10229713312000 is a wasteful number, since it uses less digits than its factorization.

10229713312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The spelling of 10229713312000 in words is "ten trillion, two hundred twenty-nine billion, seven hundred thirteen million, three hundred twelve thousand".