120202080 has 96 divisors (see below), whose sum is σ = 381024000. Its totient is φ = 31852032.

The previous prime is 120202079. The next prime is 120202081. The reversal of 120202080 is 80202021.

It is an interprime number because it is at equal distance from previous prime (120202079) and next prime (120202081).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120202081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85221 + ... + 86619.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2^120202080 is an apocalyptic number.

120202080 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 120202080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512000).

120202080 is an abundant number, since it is smaller than the sum of its proper divisors (260821920).

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

120202080 is a wasteful number, since it uses less digits than its factorization.

120202080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 120202080 is about 10963.6709180821. The cubic root of 120202080 is about 493.5191330019.

The spelling of 120202080 in words is "one hundred twenty million, two hundred two thousand, eighty".