122874985840201 has 27 divisors (see below), whose sum is σ = 144686663031981. Its totient is φ = 104047029936024.

The previous prime is 122874985840151. The next prime is 122874985840207. The reversal of 122874985840201 is 102048589478221.

The square root of 122874985840201 is 11084899.

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

It is not a de Polignac number, because 122874985840201 - 2¹⁹ = 122874985315913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122874985840201.

It is not an unprimeable number, because it can be changed into a prime (122874985840207) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6440316780 + ... + 6440335858.

Almost surely, 2^{122874985840201} is an apocalyptic number.

122874985840201 is the 11084899-th square number.

122874985840201 is the 5542450-th centered octagonal number.

It is an amenable number.

122874985840201 is a deficient number, since it is larger than the sum of its proper divisors (21811677191780).

122874985840201 is an frugal number, since it uses more digits than its factorization.

122874985840201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38338 (or 19169 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 61.

The spelling of 122874985840201 in words is "one hundred twenty-two trillion, eight hundred seventy-four billion, nine hundred eighty-five million, eight hundred forty thousand, two hundred one".