122779140 has 96 divisors (see below), whose sum is σ = 394813440. Its totient is φ = 28195200.

The previous prime is 122779109. The next prime is 122779141. The reversal of 122779140 is 41977221.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (122779141) 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, 7645 + ... + 17435.

It is an arithmetic number, because the mean of its divisors is an integer number (4112640).

Almost surely, 2^122779140 is an apocalyptic number.

122779140 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 122779140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197406720).

122779140 is an abundant number, since it is smaller than the sum of its proper divisors (272034300).

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

122779140 is a wasteful number, since it uses less digits than its factorization.

122779140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9833 (or 9831 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 122779140 is about 11080.5748948328. The cubic root of 122779140 is about 497.0211413802.

The spelling of 122779140 in words is "one hundred twenty-two million, seven hundred seventy-nine thousand, one hundred forty".