120300100120200 has 1536 divisors, whose sum is σ = 514261285171200. Its totient is φ = 22458193920000.

The previous prime is 120300100120159. The next prime is 120300100120247. The reversal of 120300100120200 is 2021001003021.

It is a super-2 number, since 2×120300100120200² (a number of 29 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 383 ways as a sum of consecutive naturals, for example, 3578958594 + ... + 3578992206.

It is an arithmetic number, because the mean of its divisors is an integer number (334805524200).

Almost surely, 2^{120300100120200} is an apocalyptic number.

120300100120200 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 120300100120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257130642585600).

120300100120200 is an abundant number, since it is smaller than the sum of its proper divisors (393961185051000).

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

120300100120200 is a wasteful number, since it uses less digits than its factorization.

120300100120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33823 (or 33814 counting only the distinct ones).

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

Adding to 120300100120200 its reverse (2021001003021), we get a palindrome (122321101123221).

The spelling of 120300100120200 in words is "one hundred twenty trillion, three hundred billion, one hundred million, one hundred twenty thousand, two hundred".