120245512402304 has 128 divisors (see below), whose sum is σ = 242616419985600. Its totient is φ = 59359518720000.

The previous prime is 120245512402289. The next prime is 120245512402321. The reversal of 120245512402304 is 403204215542021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×120245512402304² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2146868252 + ... + 2146924260.

Almost surely, 2^{120245512402304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120245512402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121308209992800).

120245512402304 is an abundant number, since it is smaller than the sum of its proper divisors (122370907583296).

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

120245512402304 is a wasteful number, since it uses less digits than its factorization.

120245512402304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56852 (or 56840 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 120245512402304 its reverse (403204215542021), we get a palindrome (523449727944325).

The spelling of 120245512402304 in words is "one hundred twenty trillion, two hundred forty-five billion, five hundred twelve million, four hundred two thousand, three hundred four".