120493100 has 72 divisors (see below), whose sum is σ = 321833568. Its totient is φ = 38131200.

The previous prime is 120493049. The next prime is 120493111. The reversal of 120493100 is 1394021.

It is a super-2 number, since 2×120493100² = 29037174295220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2480 + ... + 15720.

Almost surely, 2^120493100 is an apocalyptic number.

120493100 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 120493100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160916784).

120493100 is an abundant number, since it is smaller than the sum of its proper divisors (201340468).

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

120493100 is a wasteful number, since it uses less digits than its factorization.

120493100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13275 (or 13268 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 120493100 is about 10976.9349091629. The cubic root of 120493100 is about 493.9170966781.

The spelling of 120493100 in words is "one hundred twenty million, four hundred ninety-three thousand, one hundred".