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22200001012120 = 2352941550784761
BaseRepresentation
bin1010000110000110101110…
…01011001010000110011000
32220121022002020111110111011
411003003113023022012120
510402211100224341440
6115114312322543304
74450616502050521
oct503032713120630
986538066443434
1022200001012120
117089a70900488
1225a6613507b34
13c505b312cb59
1456a6b2db3848
152877164379ea
hex1430d72ca198

22200001012120 has 128 divisors (see below), whose sum is σ = 52942955486400. Its totient is φ = 8363058995200.

The previous prime is 22200001012087. The next prime is 22200001012121. The reversal of 22200001012120 is 2121010000222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22200001012120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22200001012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261870540 + ... + 261955300.

Almost surely, 222200001012120 is an apocalyptic number.

22200001012120 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 22200001012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26471477743200).

22200001012120 is an abundant number, since it is smaller than the sum of its proper divisors (30742954474280).

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

22200001012120 is a wasteful number, since it uses less digits than its factorization.

22200001012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90349 (or 90345 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22200001012120 its reverse (2121010000222), we get a palindrome (24321011012342).

The spelling of 22200001012120 in words is "twenty-two trillion, two hundred billion, one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 41 58 82 116 145 164 205 232 290 328 410 580 820 1160 1189 1640 2378 4756 5507 5945 9512 11014 11890 22028 23780 27535 44056 47560 55070 84761 110140 159703 169522 220280 225787 319406 339044 423805 451574 638812 678088 798515 847610 903148 1128935 1277624 1597030 1695220 1806296 2257870 2458069 3194060 3390440 3475201 4515740 4916138 6388120 6547823 6950402 9031480 9832276 12290345 13095646 13900804 17376005 19664552 24580690 26191292 27801608 32739115 34752010 49161380 52382584 65478230 69504020 98322760 100780829 130956460 139008040 201561658 261912920 403123316 466778827 503904145 806246632 933557654 1007808290 1867115308 2015616580 2333894135 3734230616 4031233160 4667788270 9335576540 13536585983 18671153080 19137931907 27073171966 38275863814 54146343932 67682929915 76551727628 95689659535 108292687864 135365859830 153103455256 191379319070 270731719660 382758638140 541463439320 555000025303 765517276280 1110000050606 2220000101212 2775000126515 4440000202424 5550000253030 11100000506060 22200001012120