20030012001000 has 768 divisors, whose sum is σ = 74173266086400. Its totient is φ = 4859205120000.

The previous prime is 20030012000989. The next prime is 20030012001047. The reversal of 20030012001000 is 10021003002.

It is a happy number.

It is a super-3 number, since 3×20030012001000³ (a number of 41 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 402176100 + ... + 402225900.

It is an arithmetic number, because the mean of its divisors is an integer number (96579773550).

Almost surely, 2^{20030012001000} is an apocalyptic number.

20030012001000 is a gapful number since it is divisible by the number (20) 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 20030012001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37086633043200).

20030012001000 is an abundant number, since it is smaller than the sum of its proper divisors (54143254085400).

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

20030012001000 is a wasteful number, since it uses less digits than its factorization.

20030012001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49947 (or 49930 counting only the distinct ones).

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

Adding to 20030012001000 its reverse (10021003002), we get a palindrome (20040033004002).

It can be divided in two parts, 2003001 and 2001000, that added together give a square (4004001 = 2001²).

The spelling of 20030012001000 in words is "twenty trillion, thirty billion, twelve million, one thousand".