120581868001 has 27 divisors (see below), whose sum is σ = 141844110291. Its totient is φ = 102207881664.

The previous prime is 120581867947. The next prime is 120581868013. The reversal of 120581868001 is 100868185021.

The square root of 120581868001 is 347249.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2124749025 + 118457118976 = 46095^2 + 344176^2 .

It is not a de Polignac number, because 120581868001 - 2¹⁵ = 120581835233 is a prime.

It is a super-2 number, since 2×120581868001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120581862001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 274673740 + ... + 274674178.

Almost surely, 2^120581868001 is an apocalyptic number.

120581868001 is the 347249-th square number.

120581868001 is the 173625-th centered octagonal number.

It is an amenable number.

120581868001 is a deficient number, since it is larger than the sum of its proper divisors (21262242290).

120581868001 is an frugal number, since it uses more digits than its factorization.

120581868001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 40.

The spelling of 120581868001 in words is "one hundred twenty billion, five hundred eighty-one million, eight hundred sixty-eight thousand, one".