122491440 has 120 divisors (see below), whose sum is σ = 426670608. Its totient is φ = 32659200.

The previous prime is 122491433. The next prime is 122491441. The reversal of 122491440 is 44194221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×122491440³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122491441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16290 + ... + 22590.

Almost surely, 2^122491440 is an apocalyptic number.

122491440 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 122491440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213335304).

122491440 is an abundant number, since it is smaller than the sum of its proper divisors (304179168).

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

122491440 is an equidigital number, since it uses as much as digits as its factorization.

122491440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6329 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 122491440 is about 11067.5851024512. The cubic root of 122491440 is about 496.6326258268.

It can be divided in two parts, 12249 and 1440, that added together give a square (13689 = 117²).

The spelling of 122491440 in words is "one hundred twenty-two million, four hundred ninety-one thousand, four hundred forty".