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200212102222120 = 235113435710166333
BaseRepresentation
bin101101100001011110000011…
…001110111001000100101000
3222020220002102122101022210201
4231201132003032321010220
5202220233341132101440
61545452100420121544
760112563351414112
oct5541360316710450
9866802378338721
10200212102222120
115888052620510a
121a556543b362b4
138793bc6983921
1437624631323b2
151822e99c2719a
hexb617833b9128

200212102222120 has 64 divisors (see below), whose sum is σ = 454568105448720. Its totient is φ = 79357899608064.

The previous prime is 200212102222117. The next prime is 200212102222159. The reversal of 200212102222120 is 21222201212002.

It can be written as a sum of positive squares in 8 ways, for example, as 158182891018084 + 42029211204036 = 12577078^2 + 6482994^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14610474 + ... + 24776806.

Almost surely, 2200212102222120 is an apocalyptic number.

200212102222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212102222120 is an abundant number, since it is smaller than the sum of its proper divisors (254356003226600).

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

200212102222120 is a wasteful number, since it uses less digits than its factorization.

200212102222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10170814 (or 10170810 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 200212102222120 its reverse (21222201212002), we get a palindrome (221434303434122).

The spelling of 200212102222120 in words is "two hundred trillion, two hundred twelve billion, one hundred two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 904 1130 2260 4357 4520 8714 17428 21785 34856 43570 87140 174280 492341 984682 1969364 2461705 3938728 4923410 9846820 10166333 19693640 20332666 40665332 50831665 81330664 101663330 203326660 406653320 1148795629 2297591258 4595182516 5743978145 9190365032 11487956290 22975912580 44294712881 45951825160 88589425762 177178851524 221473564405 354357703048 442947128810 885894257620 1771788515240 5005302555553 10010605111106 20021210222212 25026512777765 40042420444424 50053025555530 100106051111060 200212102222120