1020003012000 has 1296 divisors, whose sum is σ = 4317196410072. Its totient is φ = 227366092800.

The previous prime is 1020003011999. The next prime is 1020003012137. The reversal of 1020003012000 is 2103000201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 243708094224 + 776294917776 = 493668^2 + 881076^2 .

It is a super-2 number, since 2×1020003012000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 11460707956 + ... + 11460708044.

Almost surely, 2^{1020003012000} is an apocalyptic number.

1020003012000 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 1020003012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158598205036).

1020003012000 is an abundant number, since it is smaller than the sum of its proper divisors (3297193398072).

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

1020003012000 is an equidigital number, since it uses as much as digits as its factorization.

1020003012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1020003012000 its reverse (2103000201), we get a palindrome (1022106012201).

The spelling of 1020003012000 in words is "one trillion, twenty billion, three million, twelve thousand".