120768683762261 has 16 divisors (see below), whose sum is σ = 125192293632000. Its totient is φ = 116378296230000.

The previous prime is 120768683762239. The next prime is 120768683762267. The reversal of 120768683762261 is 162267386867021.

It is a cyclic number.

It is not a de Polignac number, because 120768683762261 - 2³⁴ = 120751503893077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120768683762267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29340890 + ... + 33202788.

It is an arithmetic number, because the mean of its divisors is an integer number (7824518352000).

Almost surely, 2^{120768683762261} is an apocalyptic number.

It is an amenable number.

120768683762261 is a deficient number, since it is larger than the sum of its proper divisors (4423609869739).

120768683762261 is a wasteful number, since it uses less digits than its factorization.

120768683762261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866200.

The product of its (nonzero) digits is 97542144, while the sum is 65.

The spelling of 120768683762261 in words is "one hundred twenty trillion, seven hundred sixty-eight billion, six hundred eighty-three million, seven hundred sixty-two thousand, two hundred sixty-one".