122091840 has 224 divisors, whose sum is σ = 464271360. Its totient is φ = 30025728.

The previous prime is 122091833. The next prime is 122091859. The reversal of 122091840 is 48190221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 111777 + ... + 112863.

It is an arithmetic number, because the mean of its divisors is an integer number (2072640).

Almost surely, 2^122091840 is an apocalyptic number.

122091840 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 122091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232135680).

122091840 is an abundant number, since it is smaller than the sum of its proper divisors (342179520).

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

122091840 is a wasteful number, since it uses less digits than its factorization.

122091840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 122091840 is about 11049.5176365306. The cubic root of 122091840 is about 496.0919877950.

The spelling of 122091840 in words is "one hundred twenty-two million, ninety-one thousand, eight hundred forty".