200434132122420 has 192 divisors, whose sum is σ = 647432103499776. Its totient is φ = 45381945868800.

The previous prime is 200434132122331. The next prime is 200434132122437. The reversal of 200434132122420 is 24221231434002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 624550519 + ... + 624871361.

It is an arithmetic number, because the mean of its divisors is an integer number (3372042205728).

Almost surely, 2^{200434132122420} is an apocalyptic number.

200434132122420 is a gapful number since it is divisible by the number (20) 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 200434132122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323716051749888).

200434132122420 is an abundant number, since it is smaller than the sum of its proper divisors (446997971377356).

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

200434132122420 is a wasteful number, since it uses less digits than its factorization.

200434132122420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334870 (or 334868 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 200434132122420 its reverse (24221231434002), we get a palindrome (224655363556422).

The spelling of 200434132122420 in words is "two hundred trillion, four hundred thirty-four billion, one hundred thirty-two million, one hundred twenty-two thousand, four hundred twenty".