120968001 has 48 divisors (see below), whose sum is σ = 219323520. Its totient is φ = 62415360.

The previous prime is 120967997. The next prime is 120968009. The reversal of 120968001 is 100869021.

It is not a de Polignac number, because 120968001 - 2² = 120967997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120968009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119385 + ... + 120393.

It is an arithmetic number, because the mean of its divisors is an integer number (4569240).

Almost surely, 2^120968001 is an apocalyptic number.

120968001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120968001 is a deficient number, since it is larger than the sum of its proper divisors (98355519).

120968001 is a wasteful number, since it uses less digits than its factorization.

120968001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 120968001 is about 10998.5454038250. The cubic root of 120968001 is about 494.5651399706.

The spelling of 120968001 in words is "one hundred twenty million, nine hundred sixty-eight thousand, one".