122665440 has 192 divisors, whose sum is σ = 414554112. Its totient is φ = 30412800.

The previous prime is 122665429. The next prime is 122665469. The reversal of 122665440 is 44566221.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122665398 and 122665407.

It is a congruent number.

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, 452505 + ... + 452775.

It is an arithmetic number, because the mean of its divisors is an integer number (2159136).

Almost surely, 2^122665440 is an apocalyptic number.

122665440 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 122665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207277056).

122665440 is an abundant number, since it is smaller than the sum of its proper divisors (291888672).

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

122665440 is a wasteful number, since it uses less digits than its factorization.

122665440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 122665440 is about 11075.4431062599. The cubic root of 122665440 is about 496.8676713448.

It can be divided in two parts, 1226 and 65440, that added together give a palindrome (66666).

The spelling of 122665440 in words is "one hundred twenty-two million, six hundred sixty-five thousand, four hundred forty".