120020024410440 has 512 divisors, whose sum is σ = 450546988953600. Its totient is φ = 24848129064960.

The previous prime is 120020024410411. The next prime is 120020024410457. The reversal of 120020024410440 is 44014420020021.

It is a super-2 number, since 2×120020024410440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120020024410440.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8762497672 + ... + 8762511368.

It is an arithmetic number, because the mean of its divisors is an integer number (879974587800).

Almost surely, 2^{120020024410440} is an apocalyptic number.

120020024410440 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 120020024410440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225273494476800).

120020024410440 is an abundant number, since it is smaller than the sum of its proper divisors (330526964543160).

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

120020024410440 is a wasteful number, since it uses less digits than its factorization.

120020024410440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17125 (or 17121 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 120020024410440 its reverse (44014420020021), we get a palindrome (164034444430461).

The spelling of 120020024410440 in words is "one hundred twenty trillion, twenty billion, twenty-four million, four hundred ten thousand, four hundred forty".