1012030020000 has 720 divisors, whose sum is σ = 3659635691712. Its totient is φ = 265175040000.

The previous prime is 1012030019981. The next prime is 1012030020017. The reversal of 1012030020000 is 200302101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1012030020000² (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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3937859872 + ... + 3937860128.

Almost surely, 2^{1012030020000} is an apocalyptic number.

1012030020000 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 1012030020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829817845856).

1012030020000 is an abundant number, since it is smaller than the sum of its proper divisors (2647605671712).

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

1012030020000 is a wasteful number, since it uses less digits than its factorization.

1012030020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 565 counting only the distinct ones).

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

Adding to 1012030020000 its reverse (200302101), we get a palindrome (1012230322101).

The spelling of 1012030020000 in words is "one trillion, twelve billion, thirty million, twenty thousand".