122199840 has 288 divisors, whose sum is σ = 495331200. Its totient is φ = 27869184.

The previous prime is 122199839. The next prime is 122199841. The reversal of 122199840 is 48991221.

It is an interprime number because it is at equal distance from previous prime (122199839) and next prime (122199841).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122199795 and 122199804.

It is not an unprimeable number, because it can be changed into a prime (122199841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271936 + ... + 272384.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^122199840 is an apocalyptic number.

122199840 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 122199840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

122199840 is an abundant number, since it is smaller than the sum of its proper divisors (373131360).

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

122199840 is an equidigital number, since it uses as much as digits as its factorization.

122199840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 122199840 is about 11054.4036474158. The cubic root of 122199840 is about 496.2382223685.

The spelling of 122199840 in words is "one hundred twenty-two million, one hundred ninety-nine thousand, eight hundred forty".