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222202200121000 = 235311127449335401
BaseRepresentation
bin110010100001011101111011…
…001101001101111010101000
31002010202022201101010211022121
4302201131323031031322220
5213111030101212333000
62104330140451001024
764542402442453441
oct6241357315157250
91063668641124277
10222202200121000
1164889473194890
1220b08337299174
1396ca767b9a898
143cc2902ac22c8
151aa4ec85b9b1a
hexca177b34dea8

222202200121000 has 256 divisors, whose sum is σ = 571831320453120. Its totient is φ = 80144467200000.

The previous prime is 222202200120961. The next prime is 222202200121007. The reversal of 222202200121000 is 121002202222.

It is a super-2 number, since 2×2222022001210002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (222202200121007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6276703300 + ... + 6276738700.

It is an arithmetic number, because the mean of its divisors is an integer number (2233716095520).

Almost surely, 2222202200121000 is an apocalyptic number.

222202200121000 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 222202200121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285915660226560).

222202200121000 is an abundant number, since it is smaller than the sum of its proper divisors (349629120332120).

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

222202200121000 is a wasteful number, since it uses less digits than its factorization.

222202200121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40053 (or 40039 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 222202200121000 its reverse (121002202222), we get a palindrome (222323202323222).

The spelling of 222202200121000 in words is "two hundred twenty-two trillion, two hundred two billion, two hundred million, one hundred twenty-one thousand".