120013301100 has 288 divisors, whose sum is σ = 439387877376. Its totient is φ = 24565305600.

The previous prime is 120013301063. The next prime is 120013301113. The reversal of 120013301100 is 1103310021.

It is a super-2 number, since 2×120013301100² (a number of 23 digits) contains 22 as substring.

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

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, 1508929 + ... + 1586471.

It is an arithmetic number, because the mean of its divisors is an integer number (1525652352).

Almost surely, 2^120013301100 is an apocalyptic number.

120013301100 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 120013301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219693938688).

120013301100 is an abundant number, since it is smaller than the sum of its proper divisors (319374576276).

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

120013301100 is a wasteful number, since it uses less digits than its factorization.

120013301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77645 (or 77638 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 120013301100 its reverse (1103310021), we get a palindrome (121116611121).

The spelling of 120013301100 in words is "one hundred twenty billion, thirteen million, three hundred one thousand, one hundred".