120306900 has 144 divisors (see below), whose sum is σ = 404974080. Its totient is φ = 27004800.

The previous prime is 120306883. The next prime is 120306937. The reversal of 120306900 is 9603021.

It is a super-2 number, since 2×120306900² = 28947500375220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123415 + ... + 124385.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2^120306900 is an apocalyptic number.

120306900 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 120306900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

120306900 is an abundant number, since it is smaller than the sum of its proper divisors (284667180).

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

120306900 is a wasteful number, since it uses less digits than its factorization.

120306900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 120306900 is about 10968.4502095784. The cubic root of 120306900 is about 493.6625460662.

Adding to 120306900 its reverse (9603021), we get a palindrome (129909921).

The spelling of 120306900 in words is "one hundred twenty million, three hundred six thousand, nine hundred".