1200012100000 has 288 divisors, whose sum is σ = 3397467048192. Its totient is φ = 408672000000.

The previous prime is 1200012099997. The next prime is 1200012100009. The reversal of 1200012100000 is 12100021.

It is a super-3 number, since 3×1200012100000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (1200012100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105694324 + ... + 105705676.

It is an arithmetic number, because the mean of its divisors is an integer number (11796760584).

Almost surely, 2^{1200012100000} is an apocalyptic number.

1200012100000 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 1200012100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698733524096).

1200012100000 is an abundant number, since it is smaller than the sum of its proper divisors (2197454948192).

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

1200012100000 is an equidigital number, since it uses as much as digits as its factorization.

1200012100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11546 (or 11518 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1200012100000 its reverse (12100021), we get a palindrome (1200024200021).

The spelling of 1200012100000 in words is "one trillion, two hundred billion, twelve million, one hundred thousand".