12010011201000 has 192 divisors, whose sum is σ = 40966261736400. Its totient is φ = 3173287104000.

The previous prime is 12010011200969. The next prime is 12010011201101. The reversal of 12010011201000 is 10211001021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 825441297444 + 11184569903556 = 908538^2 + 3344334^2 .

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5140311 + ... + 7102310.

Almost surely, 2^{12010011201000} is an apocalyptic number.

12010011201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010011201000 is an abundant number, since it is smaller than the sum of its proper divisors (28956250535400).

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

12010011201000 is a wasteful number, since it uses less digits than its factorization.

12010011201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12242757 (or 12242740 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12010011201000 its reverse (10211001021), we get a palindrome (12020222202021).

The spelling of 12010011201000 in words is "twelve trillion, ten billion, eleven million, two hundred one thousand".