122144850 has 72 divisors (see below), whose sum is σ = 332871552. Its totient is φ = 32104800.

The previous prime is 122144843. The next prime is 122144857. The reversal of 122144850 is 58441221.

It is an interprime number because it is at equal distance from previous prime (122144843) and next prime (122144857).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122144857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30039 + ... + 33861.

It is an arithmetic number, because the mean of its divisors is an integer number (4623216).

Almost surely, 2^122144850 is an apocalyptic number.

122144850 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 122144850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166435776).

122144850 is an abundant number, since it is smaller than the sum of its proper divisors (210726702).

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

122144850 is a wasteful number, since it uses less digits than its factorization.

122144850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 122144850 is about 11051.9161234602. The cubic root of 122144850 is about 496.1637753695.

The spelling of 122144850 in words is "one hundred twenty-two million, one hundred forty-four thousand, eight hundred fifty".