1010312400000 has 192 divisors, whose sum is σ = 3354342183360. Its totient is φ = 269416320000.

The previous prime is 1010312399981. The next prime is 1010312400089. The reversal of 1010312400000 is 42130101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1010312400000² (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 779037 + ... + 1620963.

It is an arithmetic number, because the mean of its divisors is an integer number (17470532205).

Almost surely, 2^{1010312400000} is an apocalyptic number.

1010312400000 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 1010312400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677171091680).

1010312400000 is an abundant number, since it is smaller than the sum of its proper divisors (2344029783360).

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

1010312400000 is an frugal number, since it uses more digits than its factorization.

1010312400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841969 (or 841937 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1010312400000 its reverse (42130101), we get a palindrome (1010354530101).

The spelling of 1010312400000 in words is "one trillion, ten billion, three hundred twelve million, four hundred thousand".