120833388 has 144 divisors (see below), whose sum is σ = 352235520. Its totient is φ = 34618752.

The previous prime is 120833387. The next prime is 120833389. The reversal of 120833388 is 883338021.

It is an interprime number because it is at equal distance from previous prime (120833387) and next prime (120833389).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (120833387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 951381 + ... + 951507.

It is an arithmetic number, because the mean of its divisors is an integer number (2446080).

Almost surely, 2^120833388 is an apocalyptic number.

120833388 is a gapful number since it is divisible by the number (18) 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 120833388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

120833388 is an abundant number, since it is smaller than the sum of its proper divisors (231402132).

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

120833388 is a wasteful number, since it uses less digits than its factorization.

120833388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 120833388 is about 10992.4241184554. The cubic root of 120833388 is about 494.3816214458.

It can be divided in two parts, 1208 and 33388, that added together give a square (34596 = 186²).

The spelling of 120833388 in words is "one hundred twenty million, eight hundred thirty-three thousand, three hundred eighty-eight".