122964480 has 200 divisors, whose sum is σ = 441162612. Its totient is φ = 32735232.

The previous prime is 122964461. The next prime is 122964529. The reversal of 122964480 is 84469221.

122964480 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 644 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122943744 + 20736 = 11088^2 + 144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207064 + ... + 207656.

Almost surely, 2^122964480 is an apocalyptic number.

122964480 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 122964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220581306).

122964480 is an abundant number, since it is smaller than the sum of its proper divisors (318198132).

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

122964480 is an frugal number, since it uses more digits than its factorization.

122964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 122964480 is about 11088.9350255108. The cubic root of 122964480 is about 497.2711067118.

The spelling of 122964480 in words is "one hundred twenty-two million, nine hundred sixty-four thousand, four hundred eighty".