2001335301200 has 30 divisors (see below), whose sum is σ = 4808208062094. Its totient is φ = 800534120320.

The previous prime is 2001335301083. The next prime is 2001335301241. The reversal of 2001335301200 is 21035331002.

It can be written as a sum of positive squares in 3 ways, for example, as 276091456 + 2001059209744 = 16616^2 + 1414588^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 2501668727 + ... + 2501669526.

Almost surely, 2^{2001335301200} is an apocalyptic number.

2001335301200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001335301200 is an abundant number, since it is smaller than the sum of its proper divisors (2806872760894).

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

2001335301200 is a wasteful number, since it uses less digits than its factorization.

2001335301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5003338271 (or 5003338260 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The spelling of 2001335301200 in words is "two trillion, one billion, three hundred thirty-five million, three hundred one thousand, two hundred".