122271744 has 96 divisors (see below), whose sum is σ = 372677760. Its totient is φ = 34922496.

The previous prime is 122271739. The next prime is 122271761. The reversal of 122271744 is 447172221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41587 + ... + 44429.

It is an arithmetic number, because the mean of its divisors is an integer number (3882060).

Almost surely, 2^122271744 is an apocalyptic number.

122271744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122271744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186338880).

122271744 is an abundant number, since it is smaller than the sum of its proper divisors (250406016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122271744 is an equidigital number, since it uses as much as digits as its factorization.

122271744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2855 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 122271744 is about 11057.6554476978. The cubic root of 122271744 is about 496.3355343261.

The spelling of 122271744 in words is "one hundred twenty-two million, two hundred seventy-one thousand, seven hundred forty-four".