122436480 has 128 divisors (see below), whose sum is σ = 399611520. Its totient is φ = 31868928.

The previous prime is 122436473. The next prime is 122436497. The reversal of 122436480 is 84634221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81819 + ... + 83301.

It is an arithmetic number, because the mean of its divisors is an integer number (3121965).

Almost surely, 2^122436480 is an apocalyptic number.

122436480 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 122436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199805760).

122436480 is an abundant number, since it is smaller than the sum of its proper divisors (277175040).

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

122436480 is a wasteful number, since it uses less digits than its factorization.

122436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 122436480 is about 11065.1018974070. The cubic root of 122436480 is about 496.5583376088.

The spelling of 122436480 in words is "one hundred twenty-two million, four hundred thirty-six thousand, four hundred eighty".