122029824 has 72 divisors (see below), whose sum is σ = 371190400. Its totient is φ = 34864128.

The previous prime is 122029823. The next prime is 122029861. The reversal of 122029824 is 428920221.

It is a junction number, because it is equal to n+sod(n) for n = 122029791 and 122029800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122029823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5974 + ... + 16725.

Almost surely, 2^122029824 is an apocalyptic number.

122029824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122029824 is an abundant number, since it is smaller than the sum of its proper divisors (249160576).

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

122029824 is an equidigital number, since it uses as much as digits as its factorization.

122029824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22725 (or 22711 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 122029824 is about 11046.7110037332. The cubic root of 122029824 is about 496.0079776726.

The spelling of 122029824 in words is "one hundred twenty-two million, twenty-nine thousand, eight hundred twenty-four".