20001120200 has 192 divisors, whose sum is σ = 49625730000. Its totient is φ = 7483392000.

The previous prime is 20001120197. The next prime is 20001120253. The reversal of 20001120200 is 202110002.

It can be written as a sum of positive squares in 24 ways, for example, as 494528644 + 19506591556 = 22238^2 + 139666^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57309626 + ... + 57309974.

Almost surely, 2^20001120200 is an apocalyptic number.

20001120200 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 20001120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24812865000).

20001120200 is an abundant number, since it is smaller than the sum of its proper divisors (29624609800).

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

20001120200 is a wasteful number, since it uses less digits than its factorization.

20001120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 20001120200 its reverse (202110002), we get a palindrome (20203230202).

The spelling of 20001120200 in words is "twenty billion, one million, one hundred twenty thousand, two hundred".