200320001001120 has 768 divisors, whose sum is σ = 851528578424832. Its totient is φ = 38227958415360.

The previous prime is 200320001001077. The next prime is 200320001001139. The reversal of 200320001001120 is 21100100023002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200320001001096 and 200320001001105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93596397 + ... + 95712723.

It is an arithmetic number, because the mean of its divisors is an integer number (1108761169824).

Almost surely, 2^{200320001001120} is an apocalyptic number.

200320001001120 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 200320001001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425764289212416).

200320001001120 is an abundant number, since it is smaller than the sum of its proper divisors (651208577423712).

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

200320001001120 is a wasteful number, since it uses less digits than its factorization.

200320001001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116573 (or 2116565 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 200320001001120 its reverse (21100100023002), we get a palindrome (221420101024122).

The spelling of 200320001001120 in words is "two hundred trillion, three hundred twenty billion, one million, one thousand, one hundred twenty".