122016840 has 128 divisors (see below), whose sum is σ = 416793600. Its totient is φ = 28286720.

The previous prime is 122016827. The next prime is 122016847. The reversal of 122016840 is 48610221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 122016840.

It is not an unprimeable number, because it can be changed into a prime (122016847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28351 + ... + 32369.

It is an arithmetic number, because the mean of its divisors is an integer number (3256200).

Almost surely, 2^122016840 is an apocalyptic number.

122016840 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 122016840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208396800).

122016840 is an abundant number, since it is smaller than the sum of its proper divisors (294776760).

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

122016840 is a wasteful number, since it uses less digits than its factorization.

122016840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 122016840 is about 11046.1233018648. The cubic root of 122016840 is about 495.9903852628.

The spelling of 122016840 in words is "one hundred twenty-two million, sixteen thousand, eight hundred forty".