123420420200 has 384 divisors, whose sum is σ = 364690944000. Its totient is φ = 37730534400.

The previous prime is 123420420181. The next prime is 123420420209. The reversal of 123420420200 is 2024024321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (123420420209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278601179 + ... + 278601621.

It is an arithmetic number, because the mean of its divisors is an integer number (949716000).

Almost surely, 2^123420420200 is an apocalyptic number.

123420420200 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 123420420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182345472000).

123420420200 is an abundant number, since it is smaller than the sum of its proper divisors (241270523800).

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

123420420200 is a wasteful number, since it uses less digits than its factorization.

123420420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 123420420200 its reverse (2024024321), we get a palindrome (125444444521).

The spelling of 123420420200 in words is "one hundred twenty-three billion, four hundred twenty million, four hundred twenty thousand, two hundred".