120892002 has 128 divisors (see below), whose sum is σ = 325582848. Its totient is φ = 28987200.

The previous prime is 120892001. The next prime is 120892007. The reversal of 120892002 is 200298021.

It is a super-2 number, since 2×120892002² = 29229752295136008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120892001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329223 + ... + 329589.

It is an arithmetic number, because the mean of its divisors is an integer number (2543616).

Almost surely, 2^120892002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120892002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162791424).

120892002 is an abundant number, since it is smaller than the sum of its proper divisors (204690846).

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

120892002 is a wasteful number, since it uses less digits than its factorization.

120892002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 120892002 is about 10995.0899041345. The cubic root of 120892002 is about 494.4615469272.

The spelling of 120892002 in words is "one hundred twenty million, eight hundred ninety-two thousand, two".