2001121752 has 32 divisors (see below), whose sum is σ = 5717491200. Its totient is φ = 571749024.

The previous prime is 2001121751. The next prime is 2001121753. The reversal of 2001121752 is 2571211002.

It is an interprime number because it is at equal distance from previous prime (2001121751) and next prime (2001121753).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001121751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5955552 + ... + 5955887.

It is an arithmetic number, because the mean of its divisors is an integer number (178671600).

Almost surely, 2^2001121752 is an apocalyptic number.

It is an amenable number.

2001121752 is an abundant number, since it is smaller than the sum of its proper divisors (3716369448).

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

2001121752 is a wasteful number, since it uses less digits than its factorization.

2001121752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11911455 (or 11911451 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 2001121752 is about 44733.8993605521. The cubic root of 2001121752 is about 1260.1565590295.

Adding to 2001121752 its reverse (2571211002), we get a palindrome (4572332754).

It can be divided in two parts, 2001 and 121752, that added together give a triangular number (123753 = T₄₉₇).

The spelling of 2001121752 in words is "two billion, one million, one hundred twenty-one thousand, seven hundred fifty-two".