120001211200 has 168 divisors, whose sum is σ = 328958554680. Its totient is φ = 42780057600.

The previous prime is 120001211191. The next prime is 120001211207. The reversal of 120001211200 is 2112100021.

It can be written as a sum of positive squares in 12 ways, for example, as 13061746944 + 106939464256 = 114288^2 + 327016^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120001211207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503730 + ... + 702670.

It is an arithmetic number, because the mean of its divisors is an integer number (1958086635).

Almost surely, 2^120001211200 is an apocalyptic number.

120001211200 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 120001211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164479277340).

120001211200 is an abundant number, since it is smaller than the sum of its proper divisors (208957343480).

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

120001211200 is a wasteful number, since it uses less digits than its factorization.

120001211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199005 (or 198990 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120001211200 its reverse (2112100021), we get a palindrome (122113311221).

The spelling of 120001211200 in words is "one hundred twenty billion, one million, two hundred eleven thousand, two hundred".