120112032001 has 8 divisors (see below), whose sum is σ = 129449356904. Its totient is φ = 110788698240.

The previous prime is 120112031989. The next prime is 120112032013. The reversal of 120112032001 is 100230211021.

It is an interprime number because it is at equal distance from previous prime (120112031989) and next prime (120112032013).

It can be written as a sum of positive squares in 4 ways, for example, as 30605753025 + 89506278976 = 174945^2 + 299176^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120112032001 - 2¹⁹ = 120111507713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120112032041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3479946 + ... + 3514291.

It is an arithmetic number, because the mean of its divisors is an integer number (16181169613).

Almost surely, 2^120112032001 is an apocalyptic number.

It is an amenable number.

120112032001 is a deficient number, since it is larger than the sum of its proper divisors (9337324903).

120112032001 is a wasteful number, since it uses less digits than its factorization.

120112032001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6995571.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 120112032001 its reverse (100230211021), we get a palindrome (220342243022).

The spelling of 120112032001 in words is "one hundred twenty billion, one hundred twelve million, thirty-two thousand, one".