122629280 has 48 divisors (see below), whose sum is σ = 295198344. Its totient is φ = 48122880.

The previous prime is 122629267. The next prime is 122629291. The reversal of 122629280 is 82926221.

It can be written as a sum of positive squares in 4 ways, for example, as 80066704 + 42562576 = 8948^2 + 6524^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 1250 + ... + 15710.

Almost surely, 2^122629280 is an apocalyptic number.

122629280 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 122629280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147599172).

122629280 is an abundant number, since it is smaller than the sum of its proper divisors (172569064).

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

122629280 is a wasteful number, since it uses less digits than its factorization.

122629280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14529 (or 14521 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 122629280 is about 11073.8105456071. The cubic root of 122629280 is about 496.8188434089.

The spelling of 122629280 in words is "one hundred twenty-two million, six hundred twenty-nine thousand, two hundred eighty".