10121312000000 has 168 divisors, whose sum is σ = 25296858617940. Its totient is φ = 4048512000000.

The previous prime is 10121311999993. The next prime is 10121312000021. The reversal of 10121312000000 is 21312101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 31841855 + ... + 32158145.

Almost surely, 2^{10121312000000} is an apocalyptic number.

10121312000000 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 10121312000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12648429308970).

10121312000000 is an abundant number, since it is smaller than the sum of its proper divisors (15175546617940).

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

10121312000000 is an frugal number, since it uses more digits than its factorization.

10121312000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316343 (or 316298 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10121312000000 its reverse (21312101), we get a palindrome (10121333312101).

The spelling of 10121312000000 in words is "ten trillion, one hundred twenty-one billion, three hundred twelve million", and thus it is an aban number.