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2221121200200 = 2335271943647293
BaseRepresentation
bin100000010100100101001…
…000111110000001001000
321212100002202101200020120
4200110211020332001020
5242342324011401300
64420211411423240
7316320311460150
oct40244510760110
97770082350216
102221121200200
11786a77016341
122ba574bb4b20
131315b2622636
1479707b13760
153cb9a8403a0
hex2052523e048

2221121200200 has 384 divisors, whose sum is σ = 8475926553600. Its totient is φ = 469778641920.

The previous prime is 2221121200147. The next prime is 2221121200211. The reversal of 2221121200200 is 20021211222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2221121200200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3107754 + ... + 3755046.

It is an arithmetic number, because the mean of its divisors is an integer number (22072725400).

Almost surely, 22221121200200 is an apocalyptic number.

2221121200200 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 2221121200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237963276800).

2221121200200 is an abundant number, since it is smaller than the sum of its proper divisors (6254805353400).

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

2221121200200 is a wasteful number, since it uses less digits than its factorization.

2221121200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647381 (or 647372 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2221121200200 its reverse (20021211222), we get a palindrome (2241142411422).

The spelling of 2221121200200 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred thousand, two hundred".