122110410249 has 45 divisors (see below), whose sum is σ = 187167072631. Its totient is φ = 79337538720.

The previous prime is 122110410241. The next prime is 122110410299. The reversal of 122110410249 is 942014011221.

It is a happy number.

The square root of 122110410249 is 349443.

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

122110410249 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 1 + 0 + 410 + 249 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5883963849 + 116226446400 = 76707^2 + 340920^2 .

It is not a de Polignac number, because 122110410249 - 2³ = 122110410241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122110410241) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 128943994 + ... + 128944940.

Almost surely, 2^122110410249 is an apocalyptic number.

122110410249 is the 349443-rd square number.

122110410249 is the 174722-nd centered octagonal number.

It is an amenable number.

122110410249 is a deficient number, since it is larger than the sum of its proper divisors (65056662382).

122110410249 is an frugal number, since it uses more digits than its factorization.

122110410249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 122110410249 in words is "one hundred twenty-two billion, one hundred ten million, four hundred ten thousand, two hundred forty-nine".