120212122201200 has 360 divisors, whose sum is σ = 418999388870400. Its totient is φ = 31916002890240.

The previous prime is 120212122201189. The next prime is 120212122201211. The reversal of 120212122201200 is 2102221212021.

It is a happy number.

120212122201200 is a `hidden beast` number, since 1 + 20 + 212 + 12 + 220 + 1 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (120212122201189) and next prime (120212122201211).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5529779931 + ... + 5529801669.

Almost surely, 2^{120212122201200} is an apocalyptic number.

120212122201200 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 120212122201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209499694435200).

120212122201200 is an abundant number, since it is smaller than the sum of its proper divisors (298787266669200).

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

120212122201200 is a wasteful number, since it uses less digits than its factorization.

120212122201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28429 (or 28415 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120212122201200 its reverse (2102221212021), we get a palindrome (122314343413221).

The spelling of 120212122201200 in words is "one hundred twenty trillion, two hundred twelve billion, one hundred twenty-two million, two hundred one thousand, two hundred".