420114121200 has 90 divisors (see below), whose sum is σ = 1457912711424. Its totient is φ = 112030431360.

The previous prime is 420114121199. The next prime is 420114121213. The reversal of 420114121200 is 2121411024.

420114121200 is a `hidden beast` number, since 42 + 0 + 11 + 412 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 58345584 + ... + 58352783.

Almost surely, 2^420114121200 is an apocalyptic number.

420114121200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420114121200 is an abundant number, since it is smaller than the sum of its proper divisors (1037798590224).

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

420114121200 is a wasteful number, since it uses less digits than its factorization.

420114121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116698391 (or 116698377 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 420114121200 its reverse (2121411024), we get a palindrome (422235532224).

The spelling of 420114121200 in words is "four hundred twenty billion, one hundred fourteen million, one hundred twenty-one thousand, two hundred".