1010112312000 has 896 divisors, whose sum is σ = 3764358614016. Its totient is φ = 236544000000.

The previous prime is 1010112311983. The next prime is 1010112312023. The reversal of 1010112312000 is 2132110101.

1010112312000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1146551560 + ... + 1146552440.

It is an arithmetic number, because the mean of its divisors is an integer number (4201293096).

Almost surely, 2^{1010112312000} is an apocalyptic number.

1010112312000 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 1010112312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882179307008).

1010112312000 is an abundant number, since it is smaller than the sum of its proper divisors (2754246302016).

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

1010112312000 is a wasteful number, since it uses less digits than its factorization.

1010112312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1046 counting only the distinct ones).

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

Adding to 1010112312000 its reverse (2132110101), we get a palindrome (1012244422101).

The spelling of 1010112312000 in words is "one trillion, ten billion, one hundred twelve million, three hundred twelve thousand".