122700480 has 336 divisors, whose sum is σ = 484266240. Its totient is φ = 25712640.

The previous prime is 122700451. The next prime is 122700493. The reversal of 122700480 is 84007221.

122700480 = T₄₈ + T₄₉ + ... + T₉₀₂.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122700480.

It is a congruent number.

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, 3958065 + ... + 3958095.

Almost surely, 2^122700480 is an apocalyptic number.

122700480 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 122700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242133120).

122700480 is an abundant number, since it is smaller than the sum of its proper divisors (361565760).

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

122700480 is a wasteful number, since it uses less digits than its factorization.

122700480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 122700480 is about 11077.0248713271. The cubic root of 122700480 is about 496.9149777572.

The spelling of 122700480 in words is "one hundred twenty-two million, seven hundred thousand, four hundred eighty".