200121406484032 has 112 divisors (see below), whose sum is σ = 437447706613632. Its totient is φ = 90076112916480.

The previous prime is 200121406483979. The next prime is 200121406484089. The reversal of 200121406484032 is 230484604121002.

It is a junction number, because it is equal to n+sod(n) for n = 200121406483982 and 200121406484000.

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 15 ways as a sum of consecutive naturals, for example, 1506225348 + ... + 1506358204.

Almost surely, 2^{200121406484032} is an apocalyptic number.

200121406484032 is a gapful number since it is divisible by the number (22) 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 200121406484032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218723853306816).

200121406484032 is an abundant number, since it is smaller than the sum of its proper divisors (237326300129600).

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

200121406484032 is a wasteful number, since it uses less digits than its factorization.

200121406484032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153756 (or 153746 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 200121406484032 in words is "two hundred trillion, one hundred twenty-one billion, four hundred six million, four hundred eighty-four thousand, thirty-two".