120111121210000 has 200 divisors, whose sum is σ = 296345402959320. Its totient is φ = 47128793088000.

The previous prime is 120111121209973. The next prime is 120111121210013. The reversal of 120111121210000 is 12121111021.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 119758266201744 + 352855008256 = 10943412^2 + 594016^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3155070966 + ... + 3155109034.

Almost surely, 2^{120111121210000} is an apocalyptic number.

120111121210000 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 120111121210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148172701479660).

120111121210000 is an abundant number, since it is smaller than the sum of its proper divisors (176234281749320).

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

120111121210000 is an equidigital number, since it uses as much as digits as its factorization.

120111121210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44103 (or 44082 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 120111121210000 its reverse (12121111021), we get a palindrome (120123242321021).

The spelling of 120111121210000 in words is "one hundred twenty trillion, one hundred eleven billion, one hundred twenty-one million, two hundred ten thousand".