122142480 has 80 divisors (see below), whose sum is σ = 390879744. Its totient is φ = 31518720.

The previous prime is 122142463. The next prime is 122142481. The reversal of 122142480 is 84241221.

It is a tau number, because it is divible by the number of its divisors (80).

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 122142480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122142481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 769 + ... + 15648.

Almost surely, 2^122142480 is an apocalyptic number.

122142480 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 122142480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195439872).

122142480 is an abundant number, since it is smaller than the sum of its proper divisors (268737264).

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

122142480 is a wasteful number, since it uses less digits than its factorization.

122142480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16464 (or 16458 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 122142480 is about 11051.8089017138. The cubic root of 122142480 is about 496.1605662951.

The spelling of 122142480 in words is "one hundred twenty-two million, one hundred forty-two thousand, four hundred eighty".