120890016 has 192 divisors, whose sum is σ = 389491200. Its totient is φ = 36246528.

The previous prime is 120889963. The next prime is 120890023. The reversal of 120890016 is 610098021.

It is a super-2 number, since 2×120890016² = 29228791936960512, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 527790 + ... + 528018.

It is an arithmetic number, because the mean of its divisors is an integer number (2028600).

Almost surely, 2^120890016 is an apocalyptic number.

120890016 is a gapful number since it is divisible by the number (16) 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 120890016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194745600).

120890016 is an abundant number, since it is smaller than the sum of its proper divisors (268601184).

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

120890016 is a wasteful number, since it uses less digits than its factorization.

120890016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 120890016 is about 10994.9995907230. Note that the first 3 decimals coincide. The cubic root of 120890016 is about 494.4588392598.

The spelling of 120890016 in words is "one hundred twenty million, eight hundred ninety thousand, sixteen".