122291460 has 144 divisors (see below), whose sum is σ = 392071680. Its totient is φ = 30792960.

The previous prime is 122291443. The next prime is 122291531. The reversal of 122291460 is 64192221.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451125 + ... + 451395.

It is an arithmetic number, because the mean of its divisors is an integer number (2722720).

Almost surely, 2^122291460 is an apocalyptic number.

122291460 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 122291460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196035840).

122291460 is an abundant number, since it is smaller than the sum of its proper divisors (269780220).

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

122291460 is a wasteful number, since it uses less digits than its factorization.

122291460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 122291460 is about 11058.5469208210. The cubic root of 122291460 is about 496.3622104960.

It can be divided in two parts, 12229 and 1460, that added together give a square (13689 = 117²).

The spelling of 122291460 in words is "one hundred twenty-two million, two hundred ninety-one thousand, four hundred sixty".