120041233000000 has 784 divisors, whose sum is σ = 340905744788112. Its totient is φ = 41545728000000.

The previous prime is 120041232999977. The next prime is 120041233000043. The reversal of 120041233000000 is 332140021.

It is a happy number.

It can be written as a sum of positive squares in 56 ways, for example, as 27034342695936 + 93006890304064 = 5199456^2 + 9644008^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 62100999034 + ... + 62101000966.

Almost surely, 2^{120041233000000} is an apocalyptic number.

120041233000000 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 120041233000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170452872394056).

120041233000000 is an abundant number, since it is smaller than the sum of its proper divisors (220864511788112).

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

120041233000000 is an equidigital number, since it uses as much as digits as its factorization.

120041233000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 120041233000000 its reverse (332140021), we get a palindrome (120041565140021).

The spelling of 120041233000000 in words is "one hundred twenty trillion, forty-one billion, two hundred thirty-three million", and thus it is an aban number.