120829280 has 96 divisors (see below), whose sum is σ = 335428128. Its totient is φ = 40550400.

The previous prime is 120829277. The next prime is 120829307. The reversal of 120829280 is 82928021.

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

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, 20240 + ... + 25520.

It is an arithmetic number, because the mean of its divisors is an integer number (3494043).

Almost surely, 2^120829280 is an apocalyptic number.

120829280 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 120829280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167714064).

120829280 is an abundant number, since it is smaller than the sum of its proper divisors (214598848).

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

120829280 is a wasteful number, since it uses less digits than its factorization.

120829280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5320 (or 5312 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 120829280 is about 10992.2372609037. The cubic root of 120829280 is about 494.3760188478.

The spelling of 120829280 in words is "one hundred twenty million, eight hundred twenty-nine thousand, two hundred eighty".