120105912969 has 45 divisors (see below), whose sum is σ = 208748071191. Its totient is φ = 68619474000.

The previous prime is 120105912931. The next prime is 120105913043. The reversal of 120105912969 is 969219501021.

The square root of 120105912969 is 346563.

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

120105912969 is a `hidden beast` number, since 1 + 20 + 10 + 591 + 29 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 117932488569 + 2173424400 = 343413^2 + 46620^2 .

It is not a de Polignac number, because 120105912969 - 2⁹ = 120105912457 is a prime.

It is a super-2 number, since 2×120105912969² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120105913969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21830719 + ... + 21836219.

Almost surely, 2^120105912969 is an apocalyptic number.

120105912969 is the 346563-rd square number.

120105912969 is the 173282-nd centered octagonal number.

It is an amenable number.

120105912969 is a deficient number, since it is larger than the sum of its proper divisors (88642158222).

120105912969 is an frugal number, since it uses more digits than its factorization.

120105912969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11028 (or 5511 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 120105912969 in words is "one hundred twenty billion, one hundred five million, nine hundred twelve thousand, nine hundred sixty-nine".