123006961 has 32 divisors (see below), whose sum is σ = 158957568. Its totient is φ = 92413440.

The previous prime is 123006959. The next prime is 123007033. The reversal of 123006961 is 169600321.

It is not a de Polignac number, because 123006961 - 2¹ = 123006959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123006901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320976 + ... + 321358.

It is an arithmetic number, because the mean of its divisors is an integer number (4967424).

Almost surely, 2^123006961 is an apocalyptic number.

123006961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123006961 is a deficient number, since it is larger than the sum of its proper divisors (35950607).

123006961 is a wasteful number, since it uses less digits than its factorization.

123006961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541.

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 123006961 is about 11090.8503280858. The cubic root of 123006961 is about 497.3283648232.

The spelling of 123006961 in words is "one hundred twenty-three million, six thousand, nine hundred sixty-one".