122011440 has 80 divisors (see below), whose sum is σ = 381308928. Its totient is φ = 32272128.

The previous prime is 122011423. The next prime is 122011507. The reversal of 122011440 is 44110221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28479 + ... + 32481.

Almost surely, 2^122011440 is an apocalyptic number.

122011440 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 122011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190654464).

122011440 is an abundant number, since it is smaller than the sum of its proper divisors (259297488).

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

122011440 is a wasteful number, since it uses less digits than its factorization.

122011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 122011440 is about 11045.8788695151. The cubic root of 122011440 is about 495.9830682739.

Adding to 122011440 its reverse (44110221), we get a palindrome (166121661).

The spelling of 122011440 in words is "one hundred twenty-two million, eleven thousand, four hundred forty".