120829320 has 192 divisors, whose sum is σ = 421424640. Its totient is φ = 31104000.

The previous prime is 120829307. The next prime is 120829333. The reversal of 120829320 is 23928021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120829307) and next prime (120829333).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301120 + ... + 301520.

It is an arithmetic number, because the mean of its divisors is an integer number (2194920).

Almost surely, 2^120829320 is an apocalyptic number.

120829320 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 120829320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210712320).

120829320 is an abundant number, since it is smaller than the sum of its proper divisors (300595320).

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

120829320 is a wasteful number, since it uses less digits than its factorization.

120829320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 120829320 is about 10992.2390803694. The cubic root of 120829320 is about 494.3760734014.

The spelling of 120829320 in words is "one hundred twenty million, eight hundred twenty-nine thousand, three hundred twenty".