10012002012000 has 288 divisors, whose sum is σ = 35738008094880. Its totient is φ = 2654432793600.

The previous prime is 10012002011971. The next prime is 10012002012031. The reversal of 10012002012000 is 21020021001.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5424211 + ... + 7031789.

It is an arithmetic number, because the mean of its divisors is an integer number (124090305885).

Almost surely, 2^{10012002012000} is an apocalyptic number.

10012002012000 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 10012002012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17869004047440).

10012002012000 is an abundant number, since it is smaller than the sum of its proper divisors (25726006082880).

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

10012002012000 is a wasteful number, since it uses less digits than its factorization.

10012002012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607783 (or 1607762 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10012002012000 its reverse (21020021001), we get a palindrome (10033022033001).

The spelling of 10012002012000 in words is "ten trillion, twelve billion, two million, twelve thousand".