1000120002000 has 640 divisors, whose sum is σ = 3764339923968. Its totient is φ = 223727616000.

The previous prime is 1000120001989. The next prime is 1000120002023. The reversal of 1000120002000 is 2000210001.

It is a happy number.

1000120002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1000120002000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 420040810 + ... + 420043190.

Almost surely, 2^{1000120002000} is an apocalyptic number.

1000120002000 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 1000120002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882169961984).

1000120002000 is an abundant number, since it is smaller than the sum of its proper divisors (2764219921968).

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

1000120002000 is a wasteful number, since it uses less digits than its factorization.

1000120002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1000120002000 its reverse (2000210001), we get a palindrome (1002120212001).

The spelling of 1000120002000 in words is "one trillion, one hundred twenty million, two thousand".