120210090 has 128 divisors (see below), whose sum is σ = 387459072. Its totient is φ = 23051520.

The previous prime is 120210089. The next prime is 120210091. The reversal of 120210090 is 90012021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120210089) and next prime (120210091).

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

It is not an unprimeable number, because it can be changed into a prime (120210091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28029 + ... + 32031.

It is an arithmetic number, because the mean of its divisors is an integer number (3027024).

Almost surely, 2^120210090 is an apocalyptic number.

120210090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120210090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193729536).

120210090 is an abundant number, since it is smaller than the sum of its proper divisors (267248982).

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

120210090 is a wasteful number, since it uses less digits than its factorization.

120210090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 120210090 is about 10964.0362093528. The cubic root of 120210090 is about 493.5300950986.

120210090 divided by its sum of digits (15) gives a triangular number (8014006 = T₄₀₀₃).

The spelling of 120210090 in words is "one hundred twenty million, two hundred ten thousand, ninety".