120124401100 has 144 divisors (see below), whose sum is σ = 301073230080. Its totient is φ = 41142124800.

The previous prime is 120124401079. The next prime is 120124401121. The reversal of 120124401100 is 1104421021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120124401079) and next prime (120124401121).

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, 3599089 + ... + 3632311.

It is an arithmetic number, because the mean of its divisors is an integer number (2090786320).

Almost surely, 2^120124401100 is an apocalyptic number.

120124401100 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 120124401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150536615040).

120124401100 is an abundant number, since it is smaller than the sum of its proper divisors (180948828980).

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

120124401100 is a wasteful number, since it uses less digits than its factorization.

120124401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33440 (or 33433 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120124401100 its reverse (1104421021), we get a palindrome (121228822121).

The spelling of 120124401100 in words is "one hundred twenty billion, one hundred twenty-four million, four hundred one thousand, one hundred".