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200222111121120 = 2532511192113152977
BaseRepresentation
bin101101100001100111010111…
…110011110011111011100000
3222020221001021011220002001200
4231201213113303303323200
5202220414340421333440
61545500433521401200
760113366364561504
oct5541472763637340
9866831234802050
10200222111121120
11588847a1a48070
121a558477a99200
138794b3046877a
143762b32530304
151823383791c30
hexb619d7cf3ee0

200222111121120 has 576 divisors, whose sum is σ = 788321180424960. Its totient is φ = 45766077235200.

The previous prime is 200222111121061. The next prime is 200222111121167. The reversal of 200222111121120 is 21121111222002.

200222111121120 is a `hidden beast` number, since 200 + 2 + 221 + 1 + 1 + 121 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200222111121093 and 200222111121102.

It is a congruent number.

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, 61926072 + ... + 65079048.

It is an arithmetic number, because the mean of its divisors is an integer number (1368613160460).

Almost surely, 2200222111121120 is an apocalyptic number.

200222111121120 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 200222111121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394160590212480).

200222111121120 is an abundant number, since it is smaller than the sum of its proper divisors (588099069303840).

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

200222111121120 is a wasteful number, since it uses less digits than its factorization.

200222111121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153239 (or 3153228 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 200222111121120 its reverse (21121111222002), we get a palindrome (221343222343122).

The spelling of 200222111121120 in words is "two hundred trillion, two hundred twenty-two billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty".