10121323212000 has 2304 divisors, whose sum is σ = 49539037556736. Its totient is φ = 1888634880000.

The previous prime is 10121323211981. The next prime is 10121323212017. The reversal of 10121323212000 is 21232312101.

10121323212000 is a `hidden beast` number, since 1 + 0 + 12 + 132 + 321 + 200 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1333328205 + ... + 1333335795.

It is an arithmetic number, because the mean of its divisors is an integer number (21501318384).

Almost surely, 2^{10121323212000} is an apocalyptic number.

10121323212000 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 10121323212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24769518778368).

10121323212000 is an abundant number, since it is smaller than the sum of its proper divisors (39417714344736).

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

10121323212000 is a wasteful number, since it uses less digits than its factorization.

10121323212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7690 (or 7669 counting only the distinct ones).

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

Adding to 10121323212000 its reverse (21232312101), we get a palindrome (10142555524101).

The spelling of 10121323212000 in words is "ten trillion, one hundred twenty-one billion, three hundred twenty-three million, two hundred twelve thousand".