122542290 has 192 divisors, whose sum is σ = 372913632. Its totient is φ = 27648000.

The previous prime is 122542289. The next prime is 122542309. The reversal of 122542290 is 92245221.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 8415801 + 114126489 = 2901^2 + 10683^2 .

It is a super-2 number, since 2×122542290² = 30033225676888200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1213240 + ... + 1213340.

Almost surely, 2^122542290 is an apocalyptic number.

122542290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122542290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186456816).

122542290 is an abundant number, since it is smaller than the sum of its proper divisors (250371342).

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

122542290 is a wasteful number, since it uses less digits than its factorization.

122542290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 122542290 is about 11069.8821131934. The cubic root of 122542290 is about 496.7013388604.

The spelling of 122542290 in words is "one hundred twenty-two million, five hundred forty-two thousand, two hundred ninety".