120301110100000 has 288 divisors, whose sum is σ = 299166676763472. Its totient is φ = 47611968000000.

The previous prime is 120301110099953. The next prime is 120301110100019. The reversal of 120301110100000 is 1011103021.

It can be written as a sum of positive squares in 24 ways, for example, as 101280311971344 + 19020798128656 = 10063812^2 + 4361284^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 120301110100000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19927296982 + ... + 19927303018.

Almost surely, 2^{120301110100000} is an apocalyptic number.

120301110100000 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 120301110100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149583338381736).

120301110100000 is an abundant number, since it is smaller than the sum of its proper divisors (178865566663472).

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

120301110100000 is an equidigital number, since it uses as much as digits as its factorization.

120301110100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8146 (or 8118 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 120301110100000 its reverse (1011103021), we get a palindrome (120302121203021).

The spelling of 120301110100000 in words is "one hundred twenty trillion, three hundred one billion, one hundred ten million, one hundred thousand".