120300022101000 has 128 divisors (see below), whose sum is σ = 428955507452160. Its totient is φ = 27497147904000.

The previous prime is 120300022100971. The next prime is 120300022101011. The reversal of 120300022101000 is 101220003021.

120300022101000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2864265241 + ... + 2864307240.

It is an arithmetic number, because the mean of its divisors is an integer number (3351214901970).

Almost surely, 2^{120300022101000} is an apocalyptic number.

120300022101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120300022101000 is an abundant number, since it is smaller than the sum of its proper divisors (308655485351160).

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

120300022101000 is a wasteful number, since it uses less digits than its factorization.

120300022101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728572512 (or 5728572498 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 120300022101000 its reverse (101220003021), we get a palindrome (120401242104021).

The spelling of 120300022101000 in words is "one hundred twenty trillion, three hundred billion, twenty-two million, one hundred one thousand".