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1000222012200 = 23352193173137283
BaseRepresentation
bin11101000111000011110…
…00001011001100101000
310112121202012011210222010
432203201320023030220
5112341423313342300
62043255020555520
7132156301552635
oct16434170131450
93477665153863
101000222012200
11356212282a54
12141a243b2ba0
137342228c0c8
14365a7b1918c
151b040ebca50
hexe8e1e0b328

1000222012200 has 768 divisors, whose sum is σ = 3452407603200. Its totient is φ = 238580121600.

The previous prime is 1000222012189. The next prime is 1000222012213. The reversal of 1000222012200 is 22102220001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3534353259 + ... + 3534353541.

It is an arithmetic number, because the mean of its divisors is an integer number (4495322400).

Almost surely, 21000222012200 is an apocalyptic number.

1000222012200 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 1000222012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726203801600).

1000222012200 is an abundant number, since it is smaller than the sum of its proper divisors (2452185591000).

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

1000222012200 is a wasteful number, since it uses less digits than its factorization.

1000222012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1000222012200 its reverse (22102220001), we get a palindrome (1022324232201).

The spelling of 1000222012200 in words is "one trillion, two hundred twenty-two million, twelve thousand, two hundred".