200420120400 has 60 divisors (see below), whose sum is σ = 642012456192. Its totient is φ = 53445365120.

The previous prime is 200420120389. The next prime is 200420120401. The reversal of 200420120400 is 4021024002.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×200420120400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200420120400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200420120401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83507184 + ... + 83509583.

Almost surely, 2^200420120400 is an apocalyptic number.

200420120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200420120400 is an abundant number, since it is smaller than the sum of its proper divisors (441592335792).

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

200420120400 is a wasteful number, since it uses less digits than its factorization.

200420120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167016788 (or 167016777 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 200420120400 its reverse (4021024002), we get a palindrome (204441144402).

The spelling of 200420120400 in words is "two hundred billion, four hundred twenty million, one hundred twenty thousand, four hundred".