120400753061277 has 12 divisors (see below), whose sum is σ = 187290060317724. Its totient is φ = 74092771114560.

The previous prime is 120400753061261. The next prime is 120400753061297. The reversal of 120400753061277 is 772160357004021.

120400753061277 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 0 + 0 + 75 + 306 + 1 + 277 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15014493521316 + 105386259539961 = 3874854^2 + 10265781^2 .

It is not a de Polignac number, because 120400753061277 - 2⁴ = 120400753061261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120400753061297) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 514533132624 + ... + 514533132857.

It is an arithmetic number, because the mean of its divisors is an integer number (15607505026477).

Almost surely, 2^{120400753061277} is an apocalyptic number.

It is an amenable number.

120400753061277 is a deficient number, since it is larger than the sum of its proper divisors (66889307256447).

120400753061277 is a wasteful number, since it uses less digits than its factorization.

120400753061277 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029066265500 (or 1029066265497 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 120400753061277 in words is "one hundred twenty trillion, four hundred billion, seven hundred fifty-three million, sixty-one thousand, two hundred seventy-seven".