1030012020000 has 360 divisors, whose sum is σ = 3664571146236. Its totient is φ = 274341888000.

The previous prime is 1030012019987. The next prime is 1030012020017. The reversal of 1030012020000 is 202100301.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 65743011216 + 964269008784 = 256404^2 + 981972^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1030012020000² (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 59 ways as a sum of consecutive naturals, for example, 175857072 + ... + 175862928.

Almost surely, 2^{1030012020000} is an apocalyptic number.

1030012020000 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 1030012020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832285573118).

1030012020000 is an abundant number, since it is smaller than the sum of its proper divisors (2634559126236).

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

1030012020000 is an equidigital number, since it uses as much as digits as its factorization.

1030012020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6870 (or 6844 counting only the distinct ones).

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

Adding to 1030012020000 its reverse (202100301), we get a palindrome (1030214120301).

The spelling of 1030012020000 in words is "one trillion, thirty billion, twelve million, twenty thousand".