122849540 has 72 divisors (see below), whose sum is σ = 290086272. Its totient is φ = 43320960.

The previous prime is 122849537. The next prime is 122849557. The reversal of 122849540 is 45948221.

It is a self number, because there is not a number n which added to its sum of digits gives 122849540.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1127006 + ... + 1127114.

It is an arithmetic number, because the mean of its divisors is an integer number (4028976).

Almost surely, 2^122849540 is an apocalyptic number.

122849540 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 122849540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145043136).

122849540 is an abundant number, since it is smaller than the sum of its proper divisors (167236732).

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

122849540 is a wasteful number, since it uses less digits than its factorization.

122849540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 122849540 is about 11083.7511700687. The cubic root of 122849540 is about 497.1161184337.

The spelling of 122849540 in words is "one hundred twenty-two million, eight hundred forty-nine thousand, five hundred forty".