122111340 has 96 divisors (see below), whose sum is σ = 389914560. Its totient is φ = 28286976.

The previous prime is 122111333. The next prime is 122111369. The reversal of 122111340 is 43111221.

It is a super-2 number, since 2×122111340² = 29822358713191200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 8656 + ... + 17864.

It is an arithmetic number, because the mean of its divisors is an integer number (4061610).

Almost surely, 2^122111340 is an apocalyptic number.

122111340 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 122111340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194957280).

122111340 is an abundant number, since it is smaller than the sum of its proper divisors (267803220).

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

122111340 is a wasteful number, since it uses less digits than its factorization.

122111340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9251 (or 9249 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 122111340 is about 11050.3999927604. The cubic root of 122111340 is about 496.1183976375.

Adding to 122111340 its reverse (43111221), we get a palindrome (165222561).

It can be divided in two parts, 1221 and 11340, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 122111340 in words is "one hundred twenty-two million, one hundred eleven thousand, three hundred forty".