123001577677 has 64 divisors (see below), whose sum is σ = 145006848000. Its totient is φ = 103285100800.

The previous prime is 123001577659. The next prime is 123001577689. The reversal of 123001577677 is 776775100321.

It is not a de Polignac number, because 123001577677 - 2¹¹ = 123001575629 is a prime.

It is a super-2 number, since 2×123001577677² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123001577077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110911599 + ... + 110912707.

It is an arithmetic number, because the mean of its divisors is an integer number (2265732000).

Almost surely, 2^123001577677 is an apocalyptic number.

It is an amenable number.

123001577677 is a deficient number, since it is larger than the sum of its proper divisors (22005270323).

123001577677 is a wasteful number, since it uses less digits than its factorization.

123001577677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362.

The product of its (nonzero) digits is 432180, while the sum is 46.

Adding to 123001577677 its reverse (776775100321), we get a palindrome (899776677998).

The spelling of 123001577677 in words is "one hundred twenty-three billion, one million, five hundred seventy-seven thousand, six hundred seventy-seven".