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22012211122000 = 2453111097912083
BaseRepresentation
bin1010000000101000111100…
…00001100100111101010000
32212221100100211200121220121
411000110132001210331100
510341122002021401000
6114452134205520024
74431221053242511
oct500243601447520
985840324617817
1022012211122000
117017365359590
122576144b73014
13c3898665c388
1456157a7a4a08
152828c4dd8b1a
hex14051e064f50

22012211122000 has 160 divisors (see below), whose sum is σ = 58117204439424. Its totient is φ = 7997134976000.

The previous prime is 22012211121991. The next prime is 22012211122007. The reversal of 22012211122000 is 22111221022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012211122007) 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, 23677959 + ... + 24590041.

Almost surely, 222012211122000 is an apocalyptic number.

22012211122000 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 22012211122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29058602219712).

22012211122000 is an abundant number, since it is smaller than the sum of its proper divisors (36104993317424).

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

22012211122000 is a wasteful number, since it uses less digits than its factorization.

22012211122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913214 (or 913198 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22012211122000 its reverse (22111221022), we get a palindrome (22034322343022).

The spelling of 22012211122000 in words is "twenty-two trillion, twelve billion, two hundred eleven million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1097 1100 1375 2000 2194 2200 2750 4388 4400 5485 5500 8776 10970 11000 12067 17552 21940 22000 24134 27425 43880 48268 54850 60335 87760 96536 109700 120670 137125 193072 219400 241340 274250 301675 438800 482680 548500 603350 912083 965360 1097000 1206700 1508375 1824166 2194000 2413400 3016750 3648332 4560415 4826800 6033500 7296664 9120830 10032913 12067000 14593328 18241660 20065826 22802075 24134000 36483320 40131652 45604150 50164565 72966640 80263304 91208300 100329130 114010375 160526608 182416600 200658260 228020750 250822825 364833200 401316520 456041500 501645650 802633040 912083000 1000555051 1003291300 1254114125 1824166000 2001110102 2006582600 2508228250 4002220204 4013165200 5002775255 5016456500 8004440408 10005550510 10032913000 11006105561 16008880816 20011101020 20065826000 22012211122 25013876275 40022202040 44024422244 50027752550 55030527805 80044404080 88048844488 100055505100 110061055610 125069381375 176097688976 200111010200 220122111220 250138762750 275152639025 400222020400 440244222440 500277525500 550305278050 880488444880 1000555051000 1100610556100 1375763195125 2001110102000 2201221112200 2751526390250 4402442224400 5503052780500 11006105561000 22012211122000