120245414244020 has 96 divisors (see below), whose sum is σ = 273795229965600. Its totient is φ = 44095417989120.

The previous prime is 120245414243947. The next prime is 120245414244023. The reversal of 120245414244020 is 20442414542021.

It can be written as a sum of positive squares in 16 ways, for example, as 38641689467536 + 81603724776484 = 6216244^2 + 9033478^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120245414244023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357053234 + ... + 357389846.

It is an arithmetic number, because the mean of its divisors is an integer number (2852033645475).

Almost surely, 2^{120245414244020} is an apocalyptic number.

120245414244020 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 120245414244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136897614982800).

120245414244020 is an abundant number, since it is smaller than the sum of its proper divisors (153549815721580).

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

120245414244020 is a wasteful number, since it uses less digits than its factorization.

120245414244020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346005 (or 346003 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 35.

Adding to 120245414244020 its reverse (20442414542021), we get a palindrome (140687828786041).

The spelling of 120245414244020 in words is "one hundred twenty trillion, two hundred forty-five billion, four hundred fourteen million, two hundred forty-four thousand, twenty".