120122312100 has 288 divisors, whose sum is σ = 404234127360. Its totient is φ = 26974632960.

The previous prime is 120122312099. The next prime is 120122312113. The reversal of 120122312100 is 1213221021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120122312100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30462729 + ... + 30466671.

It is an arithmetic number, because the mean of its divisors is an integer number (1403590720).

Almost surely, 2^120122312100 is an apocalyptic number.

120122312100 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 120122312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202117063680).

120122312100 is an abundant number, since it is smaller than the sum of its proper divisors (284111815260).

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

120122312100 is a wasteful number, since it uses less digits than its factorization.

120122312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4219 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120122312100 its reverse (1213221021), we get a palindrome (121335533121).

The spelling of 120122312100 in words is "one hundred twenty billion, one hundred twenty-two million, three hundred twelve thousand, one hundred".