122251136 has 64 divisors (see below), whose sum is σ = 284359680. Its totient is φ = 51260928.

The previous prime is 122251133. The next prime is 122251159. The reversal of 122251136 is 631152221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122251133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40661 + ... + 43563.

It is an arithmetic number, because the mean of its divisors is an integer number (4443120).

Almost surely, 2^122251136 is an apocalyptic number.

122251136 is a gapful number since it is divisible by the number (16) 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 122251136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142179840).

122251136 is an abundant number, since it is smaller than the sum of its proper divisors (162108544).

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

122251136 is an equidigital number, since it uses as much as digits as its factorization.

122251136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2959 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 122251136 is about 11056.7235653244. The cubic root of 122251136 is about 496.3076481957.

The spelling of 122251136 in words is "one hundred twenty-two million, two hundred fifty-one thousand, one hundred thirty-six".