420302120000 has 280 divisors, whose sum is σ = 1206240879360. Its totient is φ = 142272000000.

The previous prime is 420302119981. The next prime is 420302120027. The reversal of 420302120000 is 21203024.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22110500 + ... + 22129500.

Almost surely, 2^420302120000 is an apocalyptic number.

420302120000 is a gapful number since it is divisible by the number (40) 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 420302120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603120439680).

420302120000 is an abundant number, since it is smaller than the sum of its proper divisors (785938759360).

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

420302120000 is an equidigital number, since it uses as much as digits as its factorization.

420302120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19119 (or 19094 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 420302120000 its reverse (21203024), we get a palindrome (420323323024).

The spelling of 420302120000 in words is "four hundred twenty billion, three hundred two million, one hundred twenty thousand".