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1020122200212 = 2233710931167777
BaseRepresentation
bin11101101100001000000…
…01010111100010010100
310121112010001220002220120
432312010001113202110
5113203202240401322
62100345423031540
7133462402426533
oct16660401274224
93545101802816
101020122200212
113636a4429825
12145858a3b5b0
137527408a99b
1437534a5c31a
151b8080bea5c
hexed84057894

1020122200212 has 96 divisors (see below), whose sum is σ = 2475013981440. Its totient is φ = 326756229120.

The previous prime is 1020122200189. The next prime is 1020122200217. The reversal of 1020122200212 is 2120022210201.

It is a junction number, because it is equal to n+sod(n) for n = 1020122200191 and 1020122200200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020122200217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15017268 + ... + 15085044.

It is an arithmetic number, because the mean of its divisors is an integer number (25781395640).

Almost surely, 21020122200212 is an apocalyptic number.

1020122200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020122200212 is an abundant number, since it is smaller than the sum of its proper divisors (1454891781228).

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

1020122200212 is a wasteful number, since it uses less digits than its factorization.

1020122200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68241 (or 68239 counting only the distinct ones).

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

Adding to 1020122200212 its reverse (2120022210201), we get a palindrome (3140144410413).

The spelling of 1020122200212 in words is "one trillion, twenty billion, one hundred twenty-two million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 37 74 109 111 148 218 222 311 327 436 444 622 654 933 1244 1308 1866 3732 4033 8066 11507 12099 16132 23014 24198 33899 34521 46028 48396 67777 67798 69042 101697 135554 135596 138084 203331 203394 271108 406662 406788 813324 1254263 2507749 2508526 3762789 5015498 5017052 7387693 7523247 7525578 10030996 14775386 15046494 15051156 21078647 22163079 29550772 30092988 42157294 44326158 63235941 84314588 88652316 126471882 252943764 273344641 546689282 779909939 820033923 1093378564 1559819878 1640067846 2297572523 2339729817 3119639756 3280135692 4595145046 4679459634 6892717569 9190290092 9358919268 13785435138 27570870276 85010183351 170020366702 255030550053 340040733404 510061100106 1020122200212