122419818793801 has 9 divisors (see below), whose sum is σ = 123101921944053. Its totient is φ = 121741474620960.

The previous prime is 122419818793781. The next prime is 122419818793889. The reversal of 122419818793801 is 108397818914221.

It is a happy number.

The square root of 122419818793801 is 11064349.

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

It can be written as a sum of positive squares in 4 ways, for example, as 107887712383801 + 14532106410000 = 10386901^2 + 3812100^2 .

It is not a de Polignac number, because 122419818793801 - 2¹⁵ = 122419818761033 is a prime.

It is a super-2 number, since 2×122419818793801² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122419818791801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2002616605 + ... + 2002677733.

It is an arithmetic number, because the mean of its divisors is an integer number (13677991327117).

Almost surely, 2^{122419818793801} is an apocalyptic number.

122419818793801 is the 11064349-th square number.

122419818793801 is the 5532175-th centered octagonal number.

It is an amenable number.

122419818793801 is a deficient number, since it is larger than the sum of its proper divisors (682103150252).

122419818793801 is an frugal number, since it uses more digits than its factorization.

122419818793801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122620 (or 61310 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 64.

The spelling of 122419818793801 in words is "one hundred twenty-two trillion, four hundred nineteen billion, eight hundred eighteen million, seven hundred ninety-three thousand, eight hundred one".