122250440 has 64 divisors (see below), whose sum is σ = 297788400. Its totient is φ = 44900352.

The previous prime is 122250437. The next prime is 122250461. The reversal of 122250440 is 44052221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8145316 + 114105124 = 2854^2 + 10682^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120656 + ... + 121664.

Almost surely, 2^122250440 is an apocalyptic number.

122250440 is a gapful number since it is divisible by the number (10) 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 122250440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148894200).

122250440 is an abundant number, since it is smaller than the sum of its proper divisors (175537960).

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

122250440 is a wasteful number, since it uses less digits than its factorization.

122250440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 122250440 is about 11056.6920912179. The cubic root of 122250440 is about 496.3067063346.

The spelling of 122250440 in words is "one hundred twenty-two million, two hundred fifty thousand, four hundred forty".