420120501200000 has 96 divisors (see below), whose sum is σ = 1046131558021620. Its totient is φ = 168048200320000.

The previous prime is 420120501199969. The next prime is 420120501200033. The reversal of 420120501200000 is 2105021024.

It can be written as a sum of positive squares in 6 ways, for example, as 30697007278144 + 389423493921856 = 5540488^2 + 19733816^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 524750627 + ... + 525550626.

Almost surely, 2^{420120501200000} is an apocalyptic number.

420120501200000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420120501200000 is an abundant number, since it is smaller than the sum of its proper divisors (626011056821620).

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

420120501200000 is an frugal number, since it uses more digits than its factorization.

420120501200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050301292 (or 1050301260 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 420120501200000 its reverse (2105021024), we get a palindrome (420122606221024).

The spelling of 420120501200000 in words is "four hundred twenty trillion, one hundred twenty billion, five hundred one million, two hundred thousand".