120193668 has 108 divisors (see below), whose sum is σ = 359542092. Its totient is φ = 33747840.

The previous prime is 120193663. The next prime is 120193691. The reversal of 120193668 is 866391021.

It can be written as a sum of positive squares in 2 ways, for example, as 4588164 + 115605504 = 2142^2 + 10752^2 .

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 (120193663) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107046 + ... + 108162.

Almost surely, 2^120193668 is an apocalyptic number.

120193668 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 120193668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179771046).

120193668 is an abundant number, since it is smaller than the sum of its proper divisors (239348424).

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

120193668 is a wasteful number, since it uses less digits than its factorization.

120193668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 120193668 is about 10963.2872807384. The cubic root of 120193668 is about 493.5076202234.

The spelling of 120193668 in words is "one hundred twenty million, one hundred ninety-three thousand, six hundred sixty-eight".