12010102002000 has 240 divisors, whose sum is σ = 42038303907600. Its totient is φ = 3195744384000.

The previous prime is 12010102001993. The next prime is 12010102002023. The reversal of 12010102002000 is 20020101021.

It can be written as a sum of positive squares in 8 ways, for example, as 7608263022864 + 4401838979136 = 2758308^2 + 2098056^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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, 7574326 + ... + 9021674.

It is an arithmetic number, because the mean of its divisors is an integer number (175159599615).

Almost surely, 2^{12010102002000} is an apocalyptic number.

12010102002000 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 12010102002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21019151953800).

12010102002000 is an abundant number, since it is smaller than the sum of its proper divisors (30028201905600).

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

12010102002000 is a wasteful number, since it uses less digits than its factorization.

12010102002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447839 (or 1447820 counting only the distinct ones).

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

Adding to 12010102002000 its reverse (20020101021), we get a palindrome (12030122103021).

The spelling of 12010102002000 in words is "twelve trillion, ten billion, one hundred two million, two thousand".