122984540 has 48 divisors (see below), whose sum is σ = 300022464. Its totient is φ = 41472000.

The previous prime is 122984527. The next prime is 122984551. The reversal of 122984540 is 45489221.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 122984540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1340 + ... + 15740.

It is an arithmetic number, because the mean of its divisors is an integer number (6250468).

Almost surely, 2^122984540 is an apocalyptic number.

122984540 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 122984540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150011232).

122984540 is an abundant number, since it is smaller than the sum of its proper divisors (177037924).

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

122984540 is a wasteful number, since it uses less digits than its factorization.

122984540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14478 (or 14476 counting only the distinct ones).

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

The square root of 122984540 is about 11089.8394938791. The cubic root of 122984540 is about 497.2981462709.

The spelling of 122984540 in words is "one hundred twenty-two million, nine hundred eighty-four thousand, five hundred forty".